Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 188, Issue 2, Pages 1930-1940Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.11.076
Keywords
K(n,n) equation; compactons; solitons; nonlinear dispersion; the tanh-coth method; rational hyperbolic functions method
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The nonlinear K(n,n) and the K(n + 1, n + 1) equations are analytically studied. The tanh-coth method, the rational hyperbolic functions method, and the rational exponential function method are applied for this analytic study. We show that these equations exhibit new compactons, solitons and periodic solutions. The change of the physical structure of the solutions is caused by variation of the exponents and the coefficients of the derivatives. (c) 2006 Elsevier Inc. All rights reserved.
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