BIFURCATIONS AND EXACT SOLUTIONS OF NONLINEAR SCHRÖDINGER EQUATION WITH AN ANTI-CUBIC NONLINEARITY

DOI10.11948/2018.1194zbMath1462.34051OpenAlexW2887469035MaRDI QIDQ5148012

Jianli Liang, Ji-Bin Li

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1194

zbMATH Keywords

bifurcationperiodic solutionhomoclinic solutioncompacton solutionperiodic peakonnonlinear Schrödinger equation with an anti-cubic nonlinearity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Dark, singular and straddled optical solitons in birefringent fibers with generalized anti-cubic nonlinearity ⋮ Bifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual Systems ⋮ EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS ⋮ BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS OF M-N-WANG EQUATION ⋮ GROUP-INVARIANT SOLUTIONS, NON-GROUP-INVARIANT SOLUTIONS AND CONSERVATION LAWS OF QIAO EQUATION

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• BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED TWO-COMPONENT CAMASSA–HOLM EQUATION

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