Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion

DOI10.1142/S0218127422500419OpenAlexW4220994758MaRDI QIDQ5064641

Qiuyan Zhang, Yu-Qian Zhou, Ji-Bin Li

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500419

zbMATH Keywords

exact solutionbifurcationnonlinear Schrödinger equationheteroclinic orbithomoclinic orbitperiodic peakon

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Methods of ordinary differential equations applied to PDEs (35A24) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Bifurcation and traveling wave solutions of stochastic Manakov model with multiplicative white noise in birefringent fibers

Cites Work

• Unnamed Item
• Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities
• Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
• Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• Bifurcations and Exact Traveling Wave Solutions of a Modified Nonlinear Schrödinger Equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• White noise in the two-dimensional nonlinear schrödinger equation
• EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS
• THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

This page was built for publication: Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion