Weierstrass traveling wave solutions for dissipative Benjamin, Bona, and Mahony (BBM) equation

DOI10.1063/1.4817342zbMath1293.35282arXiv1302.5408OpenAlexW2768088987MaRDI QIDQ5407638

Harihar Khanal, Stefan C. Mancas, Greg Spradlin

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5408

zbMATH Keywords

stabilitytraveling wavesRiccati equationAbel equationBenjamin-Bona-Mahony equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Appell, Horn and Lauricella functions (33C65) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (7)

Exact travelling wave solutions of non-linear reaction-convection-diffusion equations—An Abel equation based approach ⋮ Elliptic solutions and solitary waves of a higher order KdV-BBM long wave equation ⋮ Traveling wave solutions to Kawahara and related equations ⋮ The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation ⋮ Spectral stability of one-dimensional reaction-diffusion equation with symmetric and asymmetric potential ⋮ Explicit solutions and stability analysis of the \((2+1)\) dimensional KP-BBM equation with dispersion effect ⋮ Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: an Abel equation based approach

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