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Research Output 1997 2019

  • 798 Citations
  • 17 h-Index
  • 48 Article
  • 1 Conference contribution
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Article
2019

Isoperimetric deformations of curves on the Minkowski plane

Park, H., Inoguchi, J. I., Kajiwara, K., Maruno, K., Matsuura, N. & Ohta, Y., 2019 Jan 1, In : International Journal of Geometric Methods in Modern Physics.

Research output: Contribution to journalArticle

defocusing
curves
2018
4 Citations (Scopus)

General high-order rogue waves of the (1+1)-dimensional yajima-oikawa system

Chen, J., Chen, Y., Feng, B. F., Maruno, K. & Ohta, Y., 2018 Jan 1, In : Journal of the Physical Society of Japan. 87, 9, 094007.

Research output: Contribution to journalArticle

determinants
nonlinear equations
hierarchies
invariance

Integrable Discrete Model for One-Dimensional Soil Water Infiltration

Triadis, D., Broadbridge, P., Kajiwara, K. & Maruno, K., 2018 Jan 1, (Accepted/In press) In : Studies in Applied Mathematics.

Research output: Contribution to journalArticle

Integrable Models
Infiltration
Discrete Model
Soil
Burgers Equation
6 Citations (Scopus)

The Derivative Yajima-Oikawa System: Bright, Dark Soliton and Breather Solutions

Chen, J., Feng, B. F., Maruno, K. & Ohta, Y., 2018 Jan 1, (Accepted/In press) In : Studies in Applied Mathematics.

Research output: Contribution to journalArticle

Breathers
Solitons
Derivatives
Derivative
Soliton Solution
2017
2 Citations (Scopus)

An integrable semi-discrete Degasperis-Procesi equation

Feng, B. F., Maruno, K. & Ohta, Y., 2017 Apr 19, In : Nonlinearity. 30, 6, p. 2246-2267 22 p.

Research output: Contribution to journalArticle

Degasperis-Procesi Equation
Discrete Equations
Solitons
Soliton Solution
solitary waves
5 Citations (Scopus)
Ostrovsky Equation
Solitons
analogs
Analogue
solitary waves
2016
9 Citations (Scopus)

An integrable semi-discretization of the coupled Yajima-Oikawa system

Chen, J., Chen, Y., Feng, B. F., Maruno, K. & Ohta, Y., 2016 Mar 8, In : Journal of Physics A: Mathematical and Theoretical. 49, 16, 165201.

Research output: Contribution to journalArticle

Semidiscretization
planetary waves
hierarchies
solitary waves
analogs
4 Citations (Scopus)

Geometric Formulation and Multi-dark Soliton Solution to the Defocusing Complex Short Pulse Equation

Feng, B. F., Maruno, K. & Ohta, Y., 2016, (Accepted/In press) In : Studies in Applied Mathematics.

Research output: Contribution to journalArticle

Short Pulse
Soliton Solution
Solitons
Byproducts
Formulation
2015
22 Citations (Scopus)

General mixed multi-soliton solutions to one-dimensional multicomponent Yajima-Oikawa system

Chen, J., Chen, Y., Feng, B. F. & Maruno, K., 2015 Jul 15, In : Journal of the Physical Society of Japan. 84, 7, 074001.

Research output: Contribution to journalArticle

solitary waves
planetary waves
inelastic collisions
determinants
hierarchies
6 Citations (Scopus)

Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation

Feng, B. F., Chen, J., Chen, Y., Maruno, K. & Ohta, Y., 2015 Sep 25, In : Journal of Physics A: Mathematical and Theoretical. 48, 38, 385202.

Research output: Contribution to journalArticle

Moving Mesh Method
Adaptive Mesh
Short Pulse
Adaptive Method
Solitons
7 Citations (Scopus)

Integrable semi-discretization of a multi-component short pulse equation

Feng, B. F., Maruno, K. & Ohta, Y., 2015 Apr 16, In : Journal of Mathematical Physics. 56, 4, 1.4916895.

Research output: Contribution to journalArticle

Semidiscretization
Short Pulse
pulses
Pfaffian
Soliton Solution
7 Citations (Scopus)

Integrable semi-discretizations of the reduced Ostrovsky equation

Feng, B. F., Maruno, K. & Ohta, Y., 2015 Apr 7, In : Journal of Physics A: Mathematical and Theoretical. 48, 13, 135203.

Research output: Contribution to journalArticle

Ostrovsky Equation
Semidiscretization
Solitons
Degasperis-Procesi Equation
Soliton Solution
24 Citations (Scopus)

Multi-dark soliton solutions of the two-dimensional multi-component Yajima-Oikawa systems

Chen, J., Chen, Y., Feng, B. F. & Maruno, K., 2015 Mar 15, In : Journal of the Physical Society of Japan. 84, 3, 034002.

Research output: Contribution to journalArticle

solitary waves
planetary waves
determinants
hierarchies
elastic scattering
78 Citations (Scopus)

Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems

Chen, J., Chen, Y., Feng, B. F. & Maruno, K., 2015 Jul 31, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 379, 24-25, p. 1510-1519 10 p.

Research output: Contribution to journalArticle

parabolas
planetary waves
interactions
requirements
profiles
2013
2 Citations (Scopus)

Integrable discretizations of the Dym equation

Feng, B. F., Inoguchi, J. I., Kajiwara, K., Maruno, K. & Ohta, Y., 2013 Oct, In : Frontiers of Mathematics in China. 8, 5, p. 1017-1029 13 p.

Research output: Contribution to journalArticle

Discretization
Soliton Solution
Analogue
7 Citations (Scopus)

On the τ-functions of the Degasperis-Procesi equation

Feng, B. F., Maruno, K. & Ohta, Y., 2013 Feb 1, In : Journal of Physics A: Mathematical and Theoretical. 46, 4, 045205.

Research output: Contribution to journalArticle

Degasperis-Procesi Equation
Solitons
Pfaffian
Soliton Solution
Determinant
2012
6 Citations (Scopus)
Ostrovsky Equation
Pfaffian
Solitons
Soliton Solution
solitary waves
2011
19 Citations (Scopus)

Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves

Feng, B. F., Inoguchi, J. I., Kajiwara, K., Maruno, K. & Ohta, Y., 2011 Sep 30, In : Journal of Physics A: Mathematical and Theoretical. 44, 39, 395201.

Research output: Contribution to journalArticle

hodographs
Plane Curve
Integrable Systems
Solitons
Discrete Systems
2010
20 Citations (Scopus)

A self-adaptive moving mesh method for the Camassa-Holm equation

Feng, B. F., Maruno, K. & Ohta, Y., 2010 Nov 1, In : Journal of Computational and Applied Mathematics. 235, 1, p. 229-243 15 p.

Research output: Contribution to journalArticle

Moving Mesh Method
Non-uniform Mesh
Camassa-Holm Equation
Adaptive Mesh
Adaptive Method
15 Citations (Scopus)

Integrable discretizations for the short-wave model of the Camassa-Holm equation

Feng, B. F., Maruno, K. & Ohta, Y., 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 26, 265202.

Research output: Contribution to journalArticle

Camassa-Holm Equation
Discretization
Determinant
Analogue
determinants
40 Citations (Scopus)

Integrable discretizations of the short pulse equation

Feng, B. F., Maruno, K. & Ohta, Y., 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 8, 085203.

Research output: Contribution to journalArticle

Short Pulse
Discretization
pulses
Solitons
determinants
12 Citations (Scopus)

On the construction of the KP line-solitons and their interactions

Chakravarty, S., Lewkow, T. & Maruno, K., 2010 Apr, In : Applicable Analysis. 89, 4, p. 529-545 17 p.

Research output: Contribution to journalArticle

Kadomtsev-Petviashvili Equation
Soliton Solution
Solitons
Wronskian
Line
8 Citations (Scopus)

The discrete potential Boussinesq equation and its multisoliton solutions

Maruno, K. & Kajiwara, K., 2010 Apr, In : Applicable Analysis. 89, 4, p. 593-609 17 p.

Research output: Contribution to journalArticle

Boussinesq Equations
Alternate
Singularity
2 Citations (Scopus)
4 Citations (Scopus)

Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system

Maruno, K., Ohta, Y. & Oikawa, M., 2009, In : Glasgow Mathematical Journal. 51, A, p. 129-135 7 p.

Research output: Contribution to journalArticle

2-D Systems
Analogue
Interaction
Wronskian
Wave Packet
14 Citations (Scopus)

Soliton interactions of the kadomtsev-petviashvili equation and generation of large-amplitude water waves

Biondini, G., Maruno, K., Oikawa, M. & Tsuji, H., 2009 May, In : Studies in Applied Mathematics. 122, 4, p. 377-394 18 p.

Research output: Contribution to journalArticle

Kadomtsev-Petviashvili Equation
Water waves
Water Waves
Solitons
Interaction
2008
36 Citations (Scopus)

An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

Ohta, Y., Maruno, K. & Feng, B. F., 2008 Sep 5, In : Journal of Physics A: Mathematical and Theoretical. 41, 35, 355205.

Research output: Contribution to journalArticle

Semidiscretization
Camassa-Holm Equation
Solitons
determinants
Determinant
2 Citations (Scopus)

Determinant and Pfaffian solutions of the strong coupling limit of integrable discrete NLS systems

Maruno, K. & Prinari, B., 2008 Oct 1, In : Inverse Problems. 24, 5, 055011.

Research output: Contribution to journalArticle

Pfaffian
Strong Coupling
Discrete Systems
Nonlinear systems
Determinant

Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential

Feng, B. F. & Maruno, K., 2008 May 10, In : International Journal of Modern Physics B. 22, 12, p. 1911-1922 12 p.

Research output: Contribution to journalArticle

Hamiltonians
Two-dimensional Systems
Quartic
Hamiltonian Systems
Discretization
23 Citations (Scopus)

Localized solitons of a (2 + 1)-dimensional nonlocal nonlinear Schrödinger equation

Maruno, K. & Ohta, Y., 2008 Jun 9, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 372, 24, p. 4446-4450 5 p.

Research output: Contribution to journalArticle

nonlinear equations
solitary waves
determinants
collisions
pulses
2007
33 Citations (Scopus)

Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: A derivation and solutions

Ohta, Y., Maruno, K. & Oikawa, M., 2007 Jul 6, In : Journal of Physics A: Mathematical and Theoretical. 40, 27, p. 7659-7672 14 p., 015.

Research output: Contribution to journalArticle

planetary waves
derivation
analogs
Analogue
Interaction
2006
22 Citations (Scopus)
determinants
nonlinear equations
solitary waves
regularity
8 Citations (Scopus)

Construction of integrals of higher-order mappings

Maruno, K. & Quispel, G. R. W., 2006 Dec, In : Journal of the Physical Society of Japan. 75, 12, 123001.

Research output: Contribution to journalArticle

conservation laws
12 Citations (Scopus)

N-soliton solutions to the DKP equation and Weyl group actions

Kodama, Y. & Maruno, K., 2006 Apr 14, In : Journal of Physics A: Mathematical and General. 39, 15, p. 4063-4086 24 p.

Research output: Contribution to journalArticle

Weyl Group
Group Action
Soliton Solution
Solitons
solitary waves
2005
17 Citations (Scopus)

Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation

Maruno, K., Ankiewicz, A. & Akhmediev, N., 2005 Dec 5, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 347, 4-6, p. 231-240 10 p.

Research output: Contribution to journalArticle

Landau-Ginzburg equations
phase shift
solitary waves
2004
122 Citations (Scopus)

Complexiton solutions of the Toda lattice equation

Ma, W. X. & Maruno, K., 2004 Nov 15, In : Physica A: Statistical Mechanics and its Applications. 343, 1-4, p. 219-237 19 p.

Research output: Contribution to journalArticle

Toda Lattice
Differential-difference Equations
difference equations
Eigenfunctions
eigenvectors
20 Citations (Scopus)

Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation

Maruno, K., Ma, W. X. & Oikawa, M., 2004 Apr, In : Journal of the Physical Society of Japan. 73, 4, p. 831-837 7 p.

Research output: Contribution to journalArticle

determinants
formulations
interactions
22 Citations (Scopus)
Toda Lattice
difference equations
Difference equations
Solitons
solitary waves
2003
44 Citations (Scopus)

Exact localized and periodic solutions of the discrete complex Ginzburg-Landau equation

Maruno, K., Ankiewicz, A. & Akhmediev, N., 2003 Jun 1, In : Optics Communications. 221, 1-3, p. 199-209 11 p.

Research output: Contribution to journalArticle

Landau-Ginzburg equations
Hamiltonians
Energy balance
Solitons
Phase shift
15 Citations (Scopus)

Exact localized solutions of quintic discrete nonlinear Schrödinger equation

Maruno, K., Ohta, Y. & Joshi, N., 2003 May 12, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 311, 2-3, p. 214-220 7 p.

Research output: Contribution to journalArticle

nonlinear equations
difference equations
set theory
29 Citations (Scopus)

Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation

Maruno, K., Ankiewicz, A. & Akhmediev, N., 2003 Feb 15, In : Physica D: Nonlinear Phenomena. 176, 1-2, p. 44-66 23 p.

Research output: Contribution to journalArticle

Swift-Hohenberg Equation
Quintic
Soliton Solution
Solitons
Analytic Solution
20 Citations (Scopus)

Periodic and optical soliton solutions of the quintic complex Swift-Hohenberg equation

Ankiewicz, A., Maruno, K. & Akhmediev, N., 2003 Mar 10, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 308, 5-6, p. 397-404 8 p.

Research output: Contribution to journalArticle

solitary waves
elliptic functions
inoculation
momentum
energy
2002
6 Citations (Scopus)

Bilinear forms of integrable lattices related to Toda and Lotka-Volterra lattices

Maruno, K. & Ma, W. X., 2002, In : Journal of Nonlinear Mathematical Physics. 9, p. 127-139 13 p.

Research output: Contribution to journalArticle

Lotka-Volterra
Lattice System
Bilinear form
Lotka-Volterra System
Integrable Systems
2000
3 Citations (Scopus)

Bilinearization of discrete soliton equations through the singularity confinement test

Kajiwara, K., Maruno, K. & Oikawa, M., 2000 Jan, In : Chaos, Solitons and Fractals. 11, 1, p. 33-39 7 p.

Research output: Contribution to journalArticle

Soliton Equation
Discrete Equations
solitary waves
Singularity
Integrable Systems
4 Citations (Scopus)

Bilinear structure and determinant solution for the relativistic Lotka-Volterra equation

Maruno, K. & Oikawa, M., 2000 May 29, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 270, 3-4, p. 122-131 10 p.

Research output: Contribution to journalArticle

Volterra equations
determinants
solitary waves
formalism
1998
16 Citations (Scopus)

Casorati determinant solution for the discrete-time relativistic Toda lattice equation

Maruno, K., Kajiwara, K. & Oikawa, M., 1998 May 11, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 241, 6, p. 335-343 9 p.

Research output: Contribution to journalArticle

determinants
solitary waves
formalism
1997
21 Citations (Scopus)

Bilinearization of discrete soliton equations and singularity confinement

Maruno, K., Kajiwara, K., Nakao, S. & Oikawa, M., 1997 May 12, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 229, 3, p. 173-182 10 p.

Research output: Contribution to journalArticle

solitary waves
derivation