Smooth travelling wave solutions in a generalized Degasperis-Procesi equation

DOI10.1016/J.CNSNS.2021.105763zbMath1467.37067OpenAlexW3130706592MaRDI QIDQ2025484

Jianhe Shen, Kun Zhu

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105763

zbMATH Keywords

travelling wave solutionsgeometric singular perturbation theoryMelnikov integralgeneralized Degasperis-Procesi equation

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)

Related Items (3)

Bifurcations and Traveling Wave Solutions of Lakshmanan–Porsezian–Daniel Equation with Parabolic Law Nonlinearity ⋮ The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions ⋮ Traveling wave solutions of a generalized Burgers-\(\alpha\beta\) equation

Cites Work

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