Exact Traveling Wave Solutions and Bifurcations of Classical and Modified Serre Shallow Water Wave Equations

DOI10.1142/S0218127419501530zbMath1435.34006OpenAlexW2990848478MaRDI QIDQ4973569

Jie Song, Ji-Bin Li, Guan-Rong Chen

Publication date: 28 November 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419501530

zbMATH Keywords

solitary wavebifurcationcompactonperiodic wavepeakonkink waveperiodic peakonpseudo-peakonshallow water wave modelSerre equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Solitary waves for incompressible inviscid fluids (76B25) Explicit solutions, first integrals of ordinary differential equations (34A05) Waves for incompressible viscous fluids (76D33) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Soliton solutions (35C08)

Related Items (4)

BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY ⋮ Bifurcations of Traveling Wave Solutions for Fully Nonlinear Water Waves with Surface Tension in the Generalized Serre–Green–Naghdi Equations ⋮ A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 5: A View Towards the Future ⋮ Pseudo-Peakon, Periodic Peakons and Compactons on a Shallow Water Model with Coriolis Effect

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