Add to ORKGAbstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg–de Vries equation for decaying initial data in the soliton and similarity region. This paper can be viewed as an expository introduction to this method. 1
In this paper, we consider the Cauchy problem for an integrable real nonlocal (also called reverse-s...
The asymptotic (long time) solution of the Korteweg-de Vries equation,. consisting of a single solit...
We consider the Cauchy problem for the Gross–Pitaevskii (GP) equation. Using the ∂ generalization of...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
The long-time asymptotics of nonlinear integrable partial differential equations is one of the impor...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. The purpose of this article is to give a streamlined and self-contained treatment of the l...
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients....
AbstractWe study the large-time behaviour of solutions to the initial-value problem for the Korteweg...
The modified Korteweg-de Vries equation on the line is considered. The initial function is a discont...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
We study the long-time asymptotic behavior of the solution q(x; t), x ϵ R, t ϵ R+, of the modified K...
In this paper, we consider the Cauchy problem for an integrable real nonlocal (also called reverse-s...
The asymptotic (long time) solution of the Korteweg-de Vries equation,. consisting of a single solit...
We consider the Cauchy problem for the Gross–Pitaevskii (GP) equation. Using the ∂ generalization of...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
The long-time asymptotics of nonlinear integrable partial differential equations is one of the impor...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. We apply the method of nonlinear steepest descent to compute the long-time asymptotics of ...
Abstract. The purpose of this article is to give a streamlined and self-contained treatment of the l...
The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients....
AbstractWe study the large-time behaviour of solutions to the initial-value problem for the Korteweg...
The modified Korteweg-de Vries equation on the line is considered. The initial function is a discont...
AbstractWe study the asymptotic behavior for large time of solutions to the Cauchy problem for the g...
We study the long-time asymptotic behavior of the solution q(x; t), x ϵ R, t ϵ R+, of the modified K...
In this paper, we consider the Cauchy problem for an integrable real nonlocal (also called reverse-s...
The asymptotic (long time) solution of the Korteweg-de Vries equation,. consisting of a single solit...
We consider the Cauchy problem for the Gross–Pitaevskii (GP) equation. Using the ∂ generalization of...