Soliton and Rogue-Wave Solutions of Derivative Nonlinear Schrödinger Equation - Part 1

Based upon different methods such as a newly revised version of inverse scattering transform, Marchenko formalism, and Hirota’s bilinear derivative transform, this chapter aims to study and solve the derivative nonlinear Schrödinger (DNLS for brevity) equation under vanishing boundary condition (VBC...

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Autor principal: Guo-Quan, Zhou
Formato: Capítulo de libro
Lenguaje:inglés
Publicado: IntechOpen 2020
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Acceso en línea:https://www.intechopen.com/chapters/73138
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Descripción
Sumario:Based upon different methods such as a newly revised version of inverse scattering transform, Marchenko formalism, and Hirota’s bilinear derivative transform, this chapter aims to study and solve the derivative nonlinear Schrödinger (DNLS for brevity) equation under vanishing boundary condition (VBC for brevity). The explicit one-soliton and multi-soliton solutions had been derived by some algebra techniques for the VBC case. Meanwhile, the asymptotic behaviors of those multi-soliton solutions had been analyzed and discussed in detail.
ISBN:978-1-83962-651-7
DOI:10.5772/intechopen.93438