Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation

1995/01/17 by Saburo Kakei, Narimasa Sasa, Junkichi Satsuma · 1 citation
Physics and Astronomy · #solv-int #nlin.SI

paper · pdf · doi:10.1143/jpsj.64.1519

published as J. Phys. Soc. Jpn. 64 (1995) 1519 · 7 pages, LaTeX file, no figures

arxiv created 1995/01/17 · arxiv updated 2016/09/08

Abstract

A generalized derivative nonlinear Schrödinger equation, \ii q_t + q_xx + 2\ii γ|q|² q_x + 2\ii (γ-1)q² q^*_x + (γ-1)(γ-2)|q|⁴ q = 0 , is studied by means of Hirota's bilinear formalism. Soliton solutions are constructed as quotients of Wronski-type determinants. A relationship between the bilinear structure and gauge transformation is also discussed.

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