Solitary and compacton solutions of fractional KdV-like equations
نویسندگان
چکیده
منابع مشابه
SOLITARY SOLUTIONS OF COUPLED KdV AND HIROTA–SATSUMA DIFFERENTIAL EQUATIONS
By considering the set of coupled KdV differential equations as a zero curvature representation of some fourth order linear differential equation and factorizing the linear differential equation, the hierarchy of solutions of the coupled KdV differential equations have been obtained from the eigen spectrum of constant potentials.
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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: Open Physics
سال: 2016
ISSN: 2391-5471
DOI: 10.1515/phys-2016-0038