Bifurcations of travelling wave solutions for the Gilson-Pickering equation

DOI10.1016/j.nonrwa.2008.07.005zbMath1177.35161OpenAlexW2014531314MaRDI QIDQ1021905

Aiyong Chen, Shengqiang Tang, Wen-tao Huang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.07.005

zbMATH Keywords

solitary wave solutionperiodic wave solutionbifurcation methodGilson-Pickering equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32) Solutions to PDEs in closed form (35C05)

Related Items (8)

Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws ⋮ Classification and Traveling Wave Solutions for the Gilson–Pickering Equation ⋮ New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method ⋮ Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system ⋮ Complex soliton solutions to the Gilson-Pickering model ⋮ Periodic and solitary-wave solutions for a variant of the \(K(3,2)\) equation ⋮ Soliton solutions and conservation laws of the Gilson–Pickering equation ⋮ Topological properties and wave structures of Gilson-Pickering equation

Cites Work

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• Symmetries of a class of nonlinear third-order partial differential equations
• Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• A numerical and theoretical study of certain nonlinear wave phenomena
• An integrable shallow water equation with peaked solitons
• Compactons: Solitons with finite wavelength
• Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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