Integrability characteristics of two-dimensional generalizations of NLS type equations

    Authors

    S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    J. Math. Phys.

    Keywords

    PARTIAL-DIFFERENTIAL EQUATIONS; (2+1)-DIMENSIONAL KDV EQUATION; INVARIANT PAINLEVE ANALYSIS; PERIODIC FIXED-POINTS; SINE-GORDON; EQUATIONS; BACKLUND-TRANSFORMATIONS; DARBOUX TRANSFORMATIONS; KORTEWEG-DEVRIES; UNIFIED APPROACH; LAX PAIRS; Physics, Mathematical

    Abstract

    A recent procedure based on truncated Painleve expansions is used to derive Lax Pairs, Darboux transformations, and various soliton solutions for integrable (2+1) generalizations of NLS type equations. In particular, diverse classes of solutions are found analogous to the dromion, instanton, lump, and ring soliton solutions derived recently for (2+1) Korteweg-de Vries type equations, the Nizhnik-Novikov-Veselov equation, and the (2+1) Broer-Kaup system. (C) 2003 American Institute of Physics.

    Journal Title

    Journal of Mathematical Physics

    Volume

    82

    Issue/Number

    12

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    5733

    Last Page

    5750

    WOS Identifier

    WOS:000182570000051

    ISSN

    0022-2488

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