BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    2 Citations (Scopus)

    Abstract

    This paper is a compilation of the present author's recent works on soliton equations. In the first place, it is shown that solutions describing solitons in the background of ripples (i. e. , the generalized soliton solutions) or various soliton equations can be constructed through their bilinear forms. It is then shown that solutions of initial value problems for various soliton equations can be constructed using their generalized soliton solutions. Moreover, it is also clarified that certain types of the Painleve equations can also be solved by the similar technique, where the Painleve equations are the typical examples of equations without movable critical points and describe asymptotic solutions of soliton equations.

    Original languageEnglish
    Title of host publicationMemoirs of the School of Science and Engineering, Waseda University
    Pages191-225
    Number of pages35
    Edition46
    Publication statusPublished - 1982

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    Solitons
    Initial value problems

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Oishi, S. (1982). BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD. In Memoirs of the School of Science and Engineering, Waseda University (46 ed., pp. 191-225)

    BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD. / Oishi, Shinichi.

    Memoirs of the School of Science and Engineering, Waseda University. 46. ed. 1982. p. 191-225.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Oishi, S 1982, BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD. in Memoirs of the School of Science and Engineering, Waseda University. 46 edn, pp. 191-225.
    Oishi S. BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD. In Memoirs of the School of Science and Engineering, Waseda University. 46 ed. 1982. p. 191-225
    Oishi, Shinichi. / BILINEARIZATION METHOD FOR SOLITON EQUATIONS - A NONLINEAR VERSION OF FOURIER'S METHOD. Memoirs of the School of Science and Engineering, Waseda University. 46. ed. 1982. pp. 191-225
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