Exact Solutions and Bifurcations in Invariant Manifolds for a Nonic Derivative Nonlinear Schrödinger Equation

DOI10.1142/S0218127416501364zbMath1345.34002MaRDI QIDQ2819428

Ji-Bin Li

Publication date: 29 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

exact solutionperiodic solutionheteroclinic orbithomoclinic orbitfour-dimensional integrable systemnonic derivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) NLS equations (nonlinear Schrödinger equations) (35Q55) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (2)

Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation ⋮ DYNAMICAL BEHAVIOUR AND EXACT SOLUTIONS OF THIRTEENTH ORDER DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation
• Invariants in a resonant derivative nonlinear Schrödinger model
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS

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