Existence and breaking property of real loop-solutions of two nonlinear wave equations

DOI10.1007/S10483-009-0501-4zbMath1182.34065OpenAlexW1984383138MaRDI QIDQ1030386

Ji-Bin Li

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0501-4

zbMATH Keywords

nonlinear wave equationplanar dynamical systembreaking wave solutionloop-solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear waves in solid mechanics (74J30) Wave equation (35L05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Dynamical behavior of loop solutions for the \(K(2, 2)\) equation

Cites Work

• Unnamed Item
• Unnamed Item
• On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons
• Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation
• Some periodic and solitary travelling-wave solutions of the short-pulse equation
• Family of nonlinear wave equations which yield loop solutions and solitary wave solutions
• The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Dynamical understanding of loop soliton solution for several nonlinear wave equations
• Explicit solutions of the reduced Ostrovsky equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• The two loop soliton solution of the Vakhnenko equation
• High-frequency soliton-like waves in a relaxing medium
• Solitary wave solutions of the short pulse equation

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