Painlevé analysis and Lie group symmetries of the regularized long-wave equation

DOI10.1063/1.529444zbMath0743.76018OpenAlexW2000026364WikidataQ115331427 ScholiaQ115331427MaRDI QIDQ3991597

David K. Rollins

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529444

zbMATH Keywords

plasmashallow water wavesdrift waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions, Novel solitary and periodic wave solutions of the Benjamin-Bona-Mahony equation via the Weierstrass elliptic function method, An inverse scattering scheme for the regularized long-wave equation, Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis, On the conservation laws and traveling wave solutions to the BBM equation

Cites Work

• Solitary waves of the regularised long-wave equation
• The Painlevé property for partial differential equations
• Solitary-wave interaction
• Fluctuation spectra of a drift wave soliton gas
• Euler operators and conservation laws of the BBM equation
• Model equations for long waves in nonlinear dispersive systems