Bifurcations of traveling wave solutions for an integrable equation

DOI10.1063/1.3385777zbMath1310.37034OpenAlexW2076383796MaRDI QIDQ5249136

Zhijun Qiao, Ji-Bin Li

Publication date: 29 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1007&context=mss_fac

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

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• A new integrable equation with no smooth solitons
• The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• The Modified Korteweg-de Vries Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• EXACT SOLUTIONS AND THEIR DYNAMICS OF TRAVELING WAVES IN THREE TYPICAL NONLINEAR WAVE EQUATIONS
• The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type

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