Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 207, Issue 1, Pages 46-52Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.07.026
Keywords
K(p, q) equation; variational iteration method; shock-peakon; shock-compactor
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By variational iteration method, we obtain new solitary solutions for non-linear dispersive equations. Particularly, shock-peakon solutions in K (2, 2) equation and shock-compactor solutions in K (3, 3) equation are found by this simple method. These two types of solutions are new solitary wave solutions which have the shapes of shock solutions and compacton solutions (or peakon solutions). (C) 2006 Elsevier B.V. All rights reserved.
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