Bilinearization of a Generalized Derivative Nonlinear Schr\"odinger equation
Abstract
A generalized derivative nonlinear Schr\"odinger equation, qt + qxx + 2 γ |q|2 qx + 2 (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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