AbstractThe asymptotic behavior of solutions of the generalized Korteweg-de Vries equation tt + uxxx + p ¦u¦p − 1ux = 0 with p ϵ [1, 2] is studied. Any solution u of (GKdV) with nonidentically zero Cauchy data ψ ∈ L2(R)is shown not to be asymptotic to a substantial class of solutions of the Airy equation vt + vxxx = 0
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
The modified Korteweg-de Vries equation $q_t+ 6q^2q_x+ q_{xxx}= 0$ on the line is considered. The in...
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients....
\S 1 Introduction. We consider the asymptotic behavior in time of solutions to the Cauchy problem fo...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
Abstract. In this article we study the Cauchy problem in G2((0, T)×R) (the algebra of the generalize...
We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{...
This work is concerned with special regularity properties of solutions to the k-generalized Korteweg...
AbstractWe consider the subcritical generalized Korteweg–de Vries equationut+(uxx+u4)x=0,t,x∈R. Let ...
In the strip Π = (-1, 0) × ℝ, we establish the existence of solutions of the Cauchy problem for the ...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
ABSTRACT. – It is shown that if u is a solution of the initial value problem for the generalized Kor...
AbstractWe study the asymptotic behaviour in time of the solutions of a class of evolution equations...
We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u(t) + 6uu(...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
The modified Korteweg-de Vries equation $q_t+ 6q^2q_x+ q_{xxx}= 0$ on the line is considered. The in...
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients....
\S 1 Introduction. We consider the asymptotic behavior in time of solutions to the Cauchy problem fo...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
Abstract. In this article we study the Cauchy problem in G2((0, T)×R) (the algebra of the generalize...
We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{...
This work is concerned with special regularity properties of solutions to the k-generalized Korteweg...
AbstractWe consider the subcritical generalized Korteweg–de Vries equationut+(uxx+u4)x=0,t,x∈R. Let ...
In the strip Π = (-1, 0) × ℝ, we establish the existence of solutions of the Cauchy problem for the ...
Abstract. We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u...
ABSTRACT. – It is shown that if u is a solution of the initial value problem for the generalized Kor...
AbstractWe study the asymptotic behaviour in time of the solutions of a class of evolution equations...
We study numerically the small dispersion limit for the Korteweg-de Vries (KdV) equation u(t) + 6uu(...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
The modified Korteweg-de Vries equation $q_t+ 6q^2q_x+ q_{xxx}= 0$ on the line is considered. The in...
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients....
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