Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation

DOI10.1007/S11071-017-3468-3zbMath1374.35382OpenAlexW2596174405WikidataQ59515675 ScholiaQ59515675MaRDI QIDQ1678393

Temesgen Desta Leta, Ji-Bin Li

Publication date: 17 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3468-3

zbMATH Keywords

periodic orbitsexact solutionheteroclinic orbitshomoclinic orbitscoupled integrable systemseptic derivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items (2)

Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system ⋮ Exact similarity and traveling wave solutions to an integrable evolution equation for surface waves in deep water

Cites Work

• Unnamed Item
• Optical solitons in nonlinear directional couplers by sine-cosine function method and Bernoulli's equation approach
• Exact traveling wave solutions and bifurcations of the dual Ito equation
• Exact traveling wave solutions and bifurcations of the generalized derivative nonlinear Schrödinger equation
• Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic waves for a system of coupled, higher order nonlinear Schrödinger equations with third order dispersion
• Effects of three-body interactions in the parametric and modulational instabilities of Bose-Einstein condensates
• Solitons and their stability in high dispersive systems. I: Fourth-order nonlinear Schrödinger-type equations with power-law nonlinearities
• Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation
• Exact Solutions and Bifurcations in Invariant Manifolds for a Nonic Derivative 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

This page was built for publication: Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation