BIFURCATIONS OF TRAVELING WAVE SOLUTIONS AND EXACT SOLUTIONS FOR THE GENERALIZED SCHRÖDINGER EQUATION

DOI10.1142/S0218127411029987zbMath1248.35199OpenAlexW2111271100MaRDI QIDQ3165853

Shu-ming Li, Jianming Zhang

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1142/s0218127411029987

zbMATH Keywords

bifurcationnonlinear wavesoliton solutiongeneralized Schrödinger equationexact explicit traveling wave solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) NLS equations (nonlinear Schrödinger equations) (35Q55) Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

• Bright and dark solitons of the generalized nonlinear Schrödinger's equation
• The tanh method and a variable separated ODE method for solving double sine-Gordon equation
• 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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