Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation
2015; Elsevier BV; Volume: 31; Issue: 1-3 Linguagem: Inglês
10.1016/j.cnsns.2015.07.007
ISSN1878-7274
AutoresXing Lü, Wen‐Xiu Ma, Jun Yu, Chaudry Masood Khalique,
Tópico(s)Advanced Mathematical Physics Problems
ResumoWithin the framework of the Madelung fluid description, we will derive bright and dark (including gray- and black-soliton) envelope solutions for a generalized derivative nonlinear Schrödinger model i∂Ψ∂t=∂2Ψ∂x2+ia∂∂x(|Ψ|2Ψ)+b|Ψ|2Ψ, by virtue of the corresponding solitary wave solutions for the stationary Gardner equations. Note that we only consider the motion with stationary-profile current velocity case and exclude the motion with constant current velocity case for a ≠ 0; on the other hand, our results are derived under suitable assumptions for the current velocity associated with corresponding boundary conditions of the fluid density, and under corresponding parametric constraints.
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