BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE EQUIVALENT COMPLEX SHORT-PULSE EQUATIONS

DOI10.11948/20190408zbMath1455.35230OpenAlexW3003346065MaRDI QIDQ4964049

Jinsen Zhuang, Yan Zhou

Publication date: 24 February 2021

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

Full work available at URL: https://doi.org/10.11948/20190408

zbMATH Keywords

solitary wave solutionperiodic wave solutionpeakon solutioncompacton solutionperiodic peakon solutionequivalent complex short-pulse equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Uses Software

• PSEUDO

Cites Work

• Unnamed Item
• Some periodic and solitary travelling-wave solutions of the short-pulse equation
• Complex short pulse and coupled complex short pulse equations
• Propagation of ultra-short optical pulses in cubic nonlinear media
• The bi-Hamiltonian structure of the short pulse equation
• Dynamical understanding of loop soliton solution for several nonlinear wave equations
• From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations
• The short pulse hierarchy
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• The Short Pulse Equation Is Integrable
• Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
• Solitary wave solutions of the short pulse equation
• Variform Exact One-Peakon Solutions for Some Singular Nonlinear Traveling Wave Equations of the First Kind
• Periodic solutions of the short pulse model equation
• BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A SHALLOW WATER WAVE MODEL WITH A NON-STATIONARY BOTTOM SURFACE

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