BIFURCATION, EXACT SOLUTIONS AND NONSMOOTH BEHAVIOR OF SOLITARY WAVES IN THE GENERALIZED NONLINEAR SCHRÖDINGER EQUATION

DOI10.1142/S0218127405013897zbMath1093.35527MaRDI QIDQ5474349

Wei Wang, Jian-Hua Sun, Guan-Rong Chen

Publication date: 23 June 2006

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

zbMATH Keywords

exact solutionsolitary wavebifurcationSchrödinger equationnonsmooth behavior

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like \(B(m,n)\) equations with nonlinear dispersion ⋮ Bifurcation and nonsmooth dynamics of solitary waves in the generalized long-short wave equations ⋮ Exact solitary and periodic wave solutions for a generalized nonlinear Schrödinger equation

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A note on ``On explicit exact solutions for the Liénard equation and its applications
• Painleve analysis of the non-linear Schrodinger family of equations
• Dimensional reductions and exact solutions of a generalized nonlinear Schrodinger equation
• On the integrability of the extended nonlinear Schrödinger equation and the coupled extended nonlinear Schrödinger equations
• BIFURCATIONS OF SOLITARY WAVES AND DOMAIN WALL WAVES FOR KdV-LIKE EQUATION WITH HIGHER ORDER NONLINEARITY
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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