General soliton solutions to a coupled Fokas-Lenells equation

DOI10.1016/j.nonrwa.2017.08.013zbMath1382.35068arXiv1611.10057OpenAlexW2962727922MaRDI QIDQ1686283

Liming Ling, Bao-Feng Feng, Zuo-nong Zhu

Publication date: 21 December 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.10057

zbMATH Keywords

generalized Darboux transformationinfinitely many conservation lawsmulti-Hamiltonian structurebright-dark solitondark-anti-dark solitonTu scheme

Mathematics Subject Classification ID

Related Items (19)

Localized waves and breather-to-soliton conversions of the coupled Fokas-Lenells system ⋮ Fokas-Lenells equation: three types of Darboux transformation and multi-soliton solutions ⋮ A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves ⋮ Exact solutions of the nonlocal Gerdjikov-Ivanov equation ⋮ On the Poisson structure and action-angle variables for the Fokas-Lenells equation ⋮ \(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds ⋮ Exact wave solutions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces ⋮ Internal rogue waves in stratified flows and the dynamics of wave packets ⋮ Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon ⋮ Exact solutions of nonlocal Fokas-Lenells equation ⋮ Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system ⋮ Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation ⋮ Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber ⋮ Semirational solutions to the coupled Fokas-Lenells equations ⋮ Multi-component coupled Fokas-Lenells equations and theirs localized wave solutions ⋮ Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation ⋮ W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws ⋮ Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation

Cites Work

• Unnamed Item
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• Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation
• Madelung fluid description on a generalized mixed nonlinear Schrödinger equation
• The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
• Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
• A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: I. Bright soliton solutions
• Lattice representation and dark solitons of the Fokas–Lenells equation
• The multicomponent generalized Kaup–Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions
• Darboux transformation for a two-component derivative nonlinear Schrödinger equation
• Bäcklund transformations between the AKNS and DNLS hierarchies
• A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions
• Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
• Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
• Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An exact solution for a derivative nonlinear Schrödinger equation
• The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
• Bäcklund transformations and loop group actions
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• The Two Component Derivative Nonlinear Schrodinger Equation
• High‐Order Soliton Solution of Landau–Lifshitz Equation
• Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy
• A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations
• Then-order rogue waves of Fokas-Lenells equation
• New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems
• On a novel integrable generalization of the nonlinear Schrödinger equation
• Note on the Darboux transformation for the derivative nonlinear Schrodinger equation
• Peregrine solitons and algebraic soliton pairs in Kerr media considering space-time correction

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