Elliptic traveling waves of the Olver equation

DOI10.1016/j.cnsns.2012.01.033zbMath1248.35162OpenAlexW2003297024MaRDI QIDQ450425

Maria V. Demina, Mikhail B. Soukharev, Nikolay A. Kudryashov

Publication date: 13 September 2012

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.2012.01.033

zbMATH Keywords

periodic solutionnonlinear ordinary differential equationmeromorphic solutionelliptic solutionnonlinear water waveOlver equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Traveling wave solutions (35C07)

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The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows ⋮ Exact solutions of one pattern formation model ⋮ Exact solutions in invariant manifolds of some higher-order models describing nonlinear waves ⋮ Optical solitons of the paraxial wave dynamical model in kerr media and its applications in nonlinear optics ⋮ Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications ⋮ Exact solution of the Wick-type stochastic fractional coupled KdV equations ⋮ Special solutions of a high-order equation for waves in a liquid with gas bubbles ⋮ Analytical solutions of the Lorenz system ⋮ \(H^4\)-solutions for the Olver-Benney equation ⋮ Elliptic solutions in the Hénon-Heiles model

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