The General Forms of the Multiple-Soliton Solutions for the Completely Integrable Equations by Using the Simplest Equation Method
Applied and Computational Mathematics
Volume 4, Issue 4, August 2015, Pages: 331-334
Received: Jun. 23, 2015; Accepted: Aug. 6, 2015; Published: Aug. 14, 2015
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Authors
Sen-Yung Lee, Department of Mechanical Engineering, National Cheng Kung University, Taiwan, R.O.C.
Chun-Ku Kuo, Department of Mechanical Engineering, National Cheng Kung University, Taiwan, R.O.C.; Department of Mechanical Engineering, Air Force Institute of Technology, Taiwan, R.O.C.
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Abstract
The simplest equation method with the Burgers’ equation as the simplest equation is used to handle two completely integrable equations, the KdV equation and the potential KdV equation. The general forms of the multiple-soliton solutions are formally established. It is shown that the simplest equation method may provide us with a straightforward and effective mathematic tool for generating multiple-soliton solutions of nonlinear wave equations in fluid mechanics
Keywords
The Simplest Equation Method, Burgers’ Equation, KdV, The Potential KdV, Multiple-Soliton Solutions
To cite this article
Sen-Yung Lee, Chun-Ku Kuo, The General Forms of the Multiple-Soliton Solutions for the Completely Integrable Equations by Using the Simplest Equation Method, Applied and Computational Mathematics. Vol. 4, No. 4, 2015, pp. 331-334. doi: 10.11648/j.acm.20150404.21
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