Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems

DOI10.1142/S0218127421500012zbMath1456.35163OpenAlexW3125559884MaRDI QIDQ5854843

Yan Zhou, Ji-Bin Li, Guan-Rong Chen

Publication date: 12 March 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500012

zbMATH Keywords

bifurcationsolitary wave solutionperiodic wave solutionperiodic peakonpseudo-peakonshallow water wave model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)

Related Items (4)

Exact kink wave solutions and peakons of a generalized Camassa-Holm equation ⋮ Existence of periodic wave of a BBM equation with delayed convection and weak diffusion ⋮ Bifurcations and exact solutions of a new \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ Bifurcation and traveling wave solutions of stochastic Manakov model with multiplicative white noise in birefringent fibers

Cites Work

• Two-component integrable systems modelling shallow water waves: the constant vorticity case
• Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
• Effects of vorticity on the travelling waves of some shallow water two-component systems
• Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED TWO-COMPONENT CAMASSA–HOLM EQUATION
• Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models
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