Solitons, Cnoidal Waves, Snoidal Waves and Other Solutions to Whitham-Broer-Kaup System
نویسندگان
چکیده
منابع مشابه
On Whitham-Broer-Kaup Equations
In this paper, we apply and compare modified Variational Iteration Methods (VIMAP) to find travelling wave solutions of Whitham-Broer-Kaup (WBK) equations. The proposed modifications are made by introducing Adomian’s and He’s polynomials in the correction functional of the VIM. The use of Lagrange multiplier coupled with He’s polynomials explicitly reveal a clear edge over the coupling with Ado...
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ABDELOUAHAB KADEM1, DUMITRU BALEANU2,* 1L.M.F.N Mathematics Department, University of Setif, Algeria Email: [email protected] 2Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University06530, Ankara, Turkey ∗On leave of absence from Institute of Space Sciences, P.O.BOX, MG-23, RO-077125, Magurele-Bucharest, Romania Emails: [email protected], balea...
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In this paper, a simple direct method is presented to find equivalence transformation of a nonlinear WhithamBroer-Kaup equations. Applying this equivalence transformation, we can obtain the symmetry group theorem of the Whitham-Broer-Kaup equations and then derive series of new exact and explicit solutions of the Whitham-Broer-Kaup equations according to solutions of the previous references.
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It is well-known that many dynamical problems in physics and other natural fields are usually characterized by nonlinear evolution partial differential equations known as governing equations. In soliton theory, searching for an analytical exact solution to a nonlinear physical system has long been an important and interesting topic both for physicists and mathematicians since much physical info...
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In this paper, Whitham–Broer–Kaup (WBK) equations with time-dependent coefficients are exactly solved through Hirota’s bilinear method. To be specific, the WBK equations are first reduced into a system of variable-coefficient Ablowitz–Kaup– Newell–Segur (AKNS) equations. With the help of the AKNS equations, bilinear forms of the WBK equations are then given. Based on a special case of the bilin...
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ژورنال
عنوان ژورنال: Applied Mathematics & Information Sciences
سال: 2014
ISSN: 1935-0090,2325-0399
DOI: 10.12785/amis/080505