 Exact solutions and invariants of motion for general types of regularized long wave equationsS. Hamdi, W.H. Enright, W.e Schiesser and J.J. Gottlieb Mathematics and Computers in Simulation (MATCOM), 2004, vol. 65, issue 4, 535-545 Abstract: New exact solitary wave solutions are derived for general types of the regularized long wave (RLW) equation and its simpler alternative, the generalized equal width wave (EW) equation, which are evolutionary partial differential equations for the simulation of one-dimensional wave propagation in nonlinear media with dispersion processes. New exact solitary wave solutions are also derived for the generalized EW-Burgers equation, which models the propagation of nonlinear and dispersive waves with certain dissipative effects. The analytical solutions for these model equations are obtained for any order of the nonlinear terms and for any given value of the coefficients of the nonlinear, dispersive and dissipative terms. Analytical expressions for three invariants of motion for solitary wave solutions of the generalized EW equation are also devised. Keywords: Equal width wave equation; Nonlinearity; Dispersion; Exact solutions; Solitary waves; Invariants of motion (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:65:y:2004:i:4:p:535-545 DOI: 10.1016/j.matcom.2004.01.015 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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