Envelope soliton resonances and broer-kaup-type non-madelung fluids
نویسندگان
چکیده
منابع مشابه
Broer-Kaup-Kupershmidt Equations
and Applied Analysis 3 (2) If 0 < g < g0, we get a solitary wave solution u6 ( x, y, t ) c (√ 2 α − 1 β cosh θ ( x y − ct )) α − 1 ( 1 β − cosh 2θ ( x y − ct )) α ( −1 α β − α − 1 cosh 2θ ( x y − ct )) , 2.4 and two blow-up solutions u7± ( x, y, t ) c ( α ( 2 β ) − 2 − 2 α − 1 cosh θ ( x y − ct ) ± β 3/2 coth θ/2 ( x y − ct )) 2α ( −1 α β − α − 1 cosh θ ( x y − ct )) , 2.5 where β 6 − 6α α2 and...
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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...
متن کاملOn Fractional Coupled Whitham-broer-kaup Equations
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, 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...
متن کاملThe Generalized Broer-Kaup-Kupershmidt System and its Hamiltonian Extension
Abstract The generalized Broer-Kaup-Kupershmidt (generalized BKK) isospectral problem, including the x-derivative of potential, is considered based on Lie algebra A1. The variational trace identity is extended to construct Hamiltonian structure of generalized BKK system. The Lie algebra A1 is extended to the non-semi-simple Lie algebra of 4 × 4 matrix form, from which a hierarchy of soliton equ...
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2012
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-012-0103-9