☆ 4.7 Article

Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2011)

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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 16, Issue 3, Pages 1122-1126

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ELSEVIER
DOI: 10.1016/j.cnsns.2010.06.024

Keywords

Generalized KdV equation; BBM equation; Time-dependent coefficients; Solitons

Categories

Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physics, Fluids & Plasmas Physics, Mathematical

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A generalized KdV equation with time-dependent coefficients will be studied. The BBM equation with time-dependent coefficients and linear damping term will also be examined. The wave soliton ansatz will be used to obtain soliton solutions for both equations. The conditions of existence of solitons are presented. (C) 2010 Elsevier B.V. All rights reserved.

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