Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n = 1 and n = 2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson’s summation formula
In this paper, we study a generalized scale-invariant analogue of the well-known Korteweg–de Vries (...
In this paper, we study a new negative-order KdV-CBS equation in (3+1) dimensions which is a combina...
This report presents a comprehensive study on a nonlinear partial differentiation equation (PDE) whi...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
AbstractPeriodic wave solutions for the two-dimensional Korteweg-deVries and modified Korteweg-deVri...
The Korteweg–de Vries (KDV) equation is one of the most well-known models in nonlinear physics, such...
AbstractPeriodic wave solutions for the two-dimensional Korteweg-deVries and modified Korteweg-deVri...
We present a new approach to find travelling wave solutions for the Korteweg-de Vries type equations...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this article, the analytical solution of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Maho...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this paper, we study a generalized scale-invariant analogue of the well-known Korteweg–de Vries (...
In this paper, we study a new negative-order KdV-CBS equation in (3+1) dimensions which is a combina...
This report presents a comprehensive study on a nonlinear partial differentiation equation (PDE) whi...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
Abstract. The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x +uyy +uzz = 0, is c...
AbstractPeriodic wave solutions for the two-dimensional Korteweg-deVries and modified Korteweg-deVri...
The Korteweg–de Vries (KDV) equation is one of the most well-known models in nonlinear physics, such...
AbstractPeriodic wave solutions for the two-dimensional Korteweg-deVries and modified Korteweg-deVri...
We present a new approach to find travelling wave solutions for the Korteweg-de Vries type equations...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
In this article, the analytical solution of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Maho...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this paper, we study a generalized scale-invariant analogue of the well-known Korteweg–de Vries (...
In this paper, we study a new negative-order KdV-CBS equation in (3+1) dimensions which is a combina...
This report presents a comprehensive study on a nonlinear partial differentiation equation (PDE) whi...