Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 2, Pages 451-459Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.06.025
Keywords
Exp-function method; KdV-mKdV equation
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This work generalizes the exponential function method in considering an arbitrary base a as opposed to the conventional base e for the exponential function. The combined KdV-mKdV equation is considered to reveal the effectiveness and convenience of the proposed generalization. The study highlights the power of the proposed method on constructing solutions expressed in terms of exponential, hyperbolic, periodic, symmetrical Fibonacci, symmetrical Lucas, and k-Fibonacci functions. Some of the obtained solitary wave solutions are sketched graphically. (C) 2010 Elsevier Inc. All rights reserved.
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