### Abstract

In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its N-soliton solution in terms of pfaffians is also proved.

Original language | English |
---|---|

Article number | 1.4916895 |

Journal | Journal of Mathematical Physics |

Volume | 56 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2015 Apr 16 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*56*(4), [1.4916895]. https://doi.org/10.1063/1.4916895

**Integrable semi-discretization of a multi-component short pulse equation.** / Feng, Bao Feng; Maruno, Kenichi; Ohta, Yasuhiro.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 56, no. 4, 1.4916895. https://doi.org/10.1063/1.4916895

}

TY - JOUR

T1 - Integrable semi-discretization of a multi-component short pulse equation

AU - Feng, Bao Feng

AU - Maruno, Kenichi

AU - Ohta, Yasuhiro

PY - 2015/4/16

Y1 - 2015/4/16

N2 - In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its N-soliton solution in terms of pfaffians is also proved.

AB - In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its N-soliton solution in terms of pfaffians is also proved.

UR - http://www.scopus.com/inward/record.url?scp=84927937595&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927937595&partnerID=8YFLogxK

U2 - 10.1063/1.4916895

DO - 10.1063/1.4916895

M3 - Article

AN - SCOPUS:84927937595

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

M1 - 1.4916895

ER -