Different wave solutions associated with singular lines on phase plane

DOI10.1007/S11071-012-0380-8zbMath1263.34051OpenAlexW1980051387MaRDI QIDQ1952372

Qinsheng Bi, Yu Wang

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0380-8

zbMATH Keywords

bifurcationtraveling wave solutiontransition boundarysingular line

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Wave equation (35L05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Wave patterns associated with a singular line for a bi-Hamiltonian system
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• Exact solutions of the generalized \(K(m, m)\) equations
• The method and topological soliton solution of the \(K(m, n)\) equation
• Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations
• Singular solitary waves associated with homoclinic orbits
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion
• Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion
• Peaked singular wave solutions associated with singular curves
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength

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