Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation

Details Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation

1995-01-17

arxiv.org/abs/solv-int/9501005v1

J. Phys. Soc. Jpn. 64 (1995) 1519

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX file, no figures

Scientific paper

10.1143/JPSJ.64.1519

A generalized derivative nonlinear Schr\"odinger equation, \ii q_t + q_{xx} + 2\ii \gamma |q|^2 q_x + 2\ii (\gamma-1)q^2 q^*_x + (\gamma-1)(\gamma-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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