We establish the existence of solitary wave solutions with exponential decay at infinity for a nonlinear dispersive partial differential equation. As a by-product, the existence of smooth solitary waves for the Camassa-Holm equation, modeling water waves and waves in elastic rods, is obtained
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
In this paper we prove rigorously that in the long-wave limit the unidirectional solutions of the im...
We consider a generalized hyperelastic-rod wave equation (or generalized Camassa--Holm equation) des...
ABSTRACT. We study here the existence of solitary wave solutions of a generalized two-component Cama...
AbstractExact solutions of nonlinear generalizations of the wave equation are constructed. In some c...
In this paper, we study the nonlinear wave solutions of the generalized Camassa-Holm-Degasperis-Proc...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We prove existence of solitary-wave solutions to a class of pseudodifferential evolution equations w...
In appliclations, solitary-wave solutions of semilinear elliptic equations #DELTA#u+g(u, #nabla#u)=0...
Evolution equations that feature both nonlinear and dispersive effects often possess solitary-wave s...
In the present paper we prove the validity of the Camassa-Holm equation as a long wave limit to the ...
AbstractConsidered here are detailed aspects of solitary-wave solutions of nonlinear evolution equat...
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solita...
Abstract. We consider a generalized hyperelastic-rod wave equation (or generalized Camassa– Holm equ...
AbstractGeneralized forms of exact solitary wave solutions of the class (1.1) are investigated. The ...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
In this paper we prove rigorously that in the long-wave limit the unidirectional solutions of the im...
We consider a generalized hyperelastic-rod wave equation (or generalized Camassa--Holm equation) des...
ABSTRACT. We study here the existence of solitary wave solutions of a generalized two-component Cama...
AbstractExact solutions of nonlinear generalizations of the wave equation are constructed. In some c...
In this paper, we study the nonlinear wave solutions of the generalized Camassa-Holm-Degasperis-Proc...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We prove existence of solitary-wave solutions to a class of pseudodifferential evolution equations w...
In appliclations, solitary-wave solutions of semilinear elliptic equations #DELTA#u+g(u, #nabla#u)=0...
Evolution equations that feature both nonlinear and dispersive effects often possess solitary-wave s...
In the present paper we prove the validity of the Camassa-Holm equation as a long wave limit to the ...
AbstractConsidered here are detailed aspects of solitary-wave solutions of nonlinear evolution equat...
Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solita...
Abstract. We consider a generalized hyperelastic-rod wave equation (or generalized Camassa– Holm equ...
AbstractGeneralized forms of exact solitary wave solutions of the class (1.1) are investigated. The ...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
In this paper we prove rigorously that in the long-wave limit the unidirectional solutions of the im...
We consider a generalized hyperelastic-rod wave equation (or generalized Camassa--Holm equation) des...
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