Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme
نویسندگان
چکیده
منابع مشابه
Multiple scales analysis of the steady-state Korteweg-de Vries equation perturbed by a damping term
(i) For laminar flow (1) has been derived in [7] for f = −H ′′. A first analysis of that case is in [6]. Moreover this equation is also considered in the context of shock profiles in plasmas [2]. (ii) For turbulent flow in a certain distinguished limit concerning the Reynolds number and the Froude number eq. (1) has been derived in [3,4] with f = H . A multiple scales analysis of the full flow ...
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Soliton interactions for the extended Korteweg-de Vries (KdV) equation are examined. It is shown that the extended KdV equation can be transformed (to its order of approximation) to a higher-order member of the KdV hierarchy of integrable equations. This transformation is used to derive the higher-order, two-soliton solution for the extended KdV equation. Hence it follows that the higher-order ...
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2019
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2019/3175213