On Whitham and Related Equations
نویسندگان
چکیده
منابع مشابه
Remarks on the Whitham Equations
We survey some topics involving the Whitham equations, concentrating on the role of ψψ∗ (or square eigenfunctions) in averaging and in producing Cauchy kernels and differentials on Riemann surfaces.
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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 کاملThe Whitham Equations Revisited
We survey some topics involving the Whitham equations, concentrating on the role of ψψ∗ (or square eigenfunctions) in averaging. Some connections to symplectic geometry and SeibergWitten theory are indicated.
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...
متن کاملOn Whitham theory for perturbed integrable equations
Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with 2 × 2 matrix or second order scalar spectral problems. The theory is illustrated by derivation of the Whitham equations for perturbed Korteweg-de Vries equation and nonlinear Schrödinger equation with linear damping.
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2017
ISSN: 0022-2526
DOI: 10.1111/sapm.12194