A generalized derivative nonlinear Schr\"odinger equation, q_t + qₓₓ + 2 γ |q|^2 q_x + 2 (γ-1)q^2 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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Kakei et al. (1995) studied this question.
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