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Displaying 21 – 40 of 372

Adiabatic Evolution of Coupled Waves for a Schrödinger-Korteweg-de Vries System

W. Abou Salem (2012)

Mathematical Modelling of Natural Phenomena

The effective dynamics of interacting waves for coupled Schrödinger-Korteweg-de Vries equations over a slowly varying random bottom is rigorously studied. One motivation for studying such a system is better understanding the unidirectional motion of interacting surface and internal waves for a fluid system that is formed of two immiscible layers. It was shown recently by Craig-Guyenne-Sulem [1] that in the regime where the internal wave has a large...

Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation

Jerry L. Bona, Zoran Grujić, Henrik Kalisch (2005)

Annales de l'I.H.P. Analyse non linéaire

Algèbres $𝒲$ et équations non-linéaires

Pierre van Moerbeke (1997/1998)

Séminaire Bourbaki

Algebro-geometric solutions of the Camassa-Holm hierarchy.

Fritz Gesztesy, Helge Holden (2003)

Revista Matemática Iberoamericana

We provide a detailed treatment of the Camassa-Holm (CH) hierarchy with special emphasis on its algebro-geometric solutions. In analogy to other completely integrable hierarchies of soliton equations such as the KdV or AKNS hierarchies, the CH hierarchy is recursively constructed by means of a basic polynomial formalism invoking a spectral parameter. Moreover, we study Dubrovin-type equations for auxiliary divisors and associated trace formulas, consider the corresponding algebro-geometric initial...

Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation.

Salas, Alvaro H., S., Cesar A.Gómez (2010)

Mathematical Problems in Engineering

Applications of an extended $(G^{'} / G)$ -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.

Zayed, E.M.E., Al-Joudi, Shorog (2010)

Mathematical Problems in Engineering

Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations.

Zedan, Hassan (2010)

Boundary Value Problems [electronic only]

Currently displaying 21 – 40 of 372

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Displaying 21 – 40 of 372

Adiabatic Evolution of Coupled Waves for a Schrödinger-Korteweg-de Vries System

Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation

Algèbres $𝒲$ et équations non-linéaires

Algebro-geometric solutions of the Camassa-Holm hierarchy.

An explicit solution of coupled viscous Burgers' equation by the decomposition method.

An interacting particles process for Burgers equation on the circle.

Analysis of the self-similar solutions of a generalized Burgers equation with nonlinear damping.

Analytical and numerical methods for the CMKdV-II equation.

Analytical treatment of generalized Burgers-Huxley equation by homotopy analysis method.

Analyzing the dynamics of the forced Burgers equation.

Andrew Lenard: a mystery unraveled.

Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations.

Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation.

Applications of an extended $(G^{'} / G)$ -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.

Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations.

Approximate method for studying the waves propagating along the interface between air-water.

Asymptotic behaviour of solutions of matrix Burgers equation.

Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system

Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.

Asymptotic solutions of equations with slowly varying coefficients

Currently displaying 21 – 40 of 372