Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 13, Issue 2, Pages 331-339Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2006.03.013
Keywords
KdV equation; mKdV equation; generalized KdV equation; solitons
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In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new solitary wave solutions in addition to the traditional solutions. The analysis can be used to a wide class of nonlinear evolutions equations. (c) 2006 Elsevier B.V. All rights reserved.
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