Various progressive waves expressed by rational combination of Jacobian elliptic functions in general are found as solutions to the modified KdV equation. They reduce to cnoidal, dnoidal, snoidal, solitary waves or solitons and kinks in some special cases.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1991GF85300006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, MultidisciplinarySCI(E)中国科学引文数据库(CSCD)1ARTICLE6292-295
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equat...
Motivated with a solitary wave type of solution to modified Korteweg-de Vries (KdV) equation, in thi...
In this paper, new basic functions, which are composed of three basic Jacobi elliptic functions, are...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
Periodic waves for evolution equations of the modified Korteweg-de Vries (mKdV) family are expressed...
A fractional transformation is introduced to solve modified KdV (mKdV for short) equation, where thi...
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a trans...
In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this work, we have constructed various types of soliton solu-tions of the generalized regularized...
Korteweg de Vries (KdV) model is considered quintessential in modeling the surface gravity water wav...
We present an infinitely-extended KdV equation that contains an infinite number of arbitrary real co...
Recently it has been shown that the superposition of solitons constitutes an exact periodic solution...
We employ the approaches of both dynamical system and numerical simulation to investigate a generali...
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equat...
Motivated with a solitary wave type of solution to modified Korteweg-de Vries (KdV) equation, in thi...
In this paper, new basic functions, which are composed of three basic Jacobi elliptic functions, are...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
Periodic waves for evolution equations of the modified Korteweg-de Vries (mKdV) family are expressed...
A fractional transformation is introduced to solve modified KdV (mKdV for short) equation, where thi...
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a trans...
In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this work, we have constructed various types of soliton solu-tions of the generalized regularized...
Korteweg de Vries (KdV) model is considered quintessential in modeling the surface gravity water wav...
We present an infinitely-extended KdV equation that contains an infinite number of arbitrary real co...
Recently it has been shown that the superposition of solitons constitutes an exact periodic solution...
We employ the approaches of both dynamical system and numerical simulation to investigate a generali...
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equat...
Motivated with a solitary wave type of solution to modified Korteweg-de Vries (KdV) equation, in thi...