On the stability of solitary wave solutions of the fifth-order KdV equation
نویسندگان
چکیده
منابع مشابه
Exact and Solitary Wave Solutions to the Generalized Fifth-order KdV Equation by Using the Modified Simple Equation Method
Although the modified simple equation (MSE) method effectively provides exact traveling wave solutions to nonlinear evolution equations (NLEEs) in the field of engineering and mathematical physics, it has some limitations. When the balance number is greater than one, usually the method does not give any solution. In this article, we have exposed a process how to implement the MSE method to solv...
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Nonlinear Stability of Solitary Travelling-wave Solutions for the Kawahara-kdv and Modified Kawahara-kdv Equations
In this paper we establish the nonlinear stability of solitary travelling-wave solutions for the Kawahara-KdV equation ut + uux + uxxx − γ1uxxxxx = 0, and the modified Kawahara-KdV equation ut + 3u 2ux + uxxx − γ2uxxxxx = 0, where γi ∈ R is a positive number when i = 1, 2. The main approach used to determine the stability of solitary travelling-waves will be the theory developed by Albert in [1].
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1997
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(97)00453-2