Abstract. We have derived solitary wave solutions of generalized KdV-type equations of fifth order in terms of certain hyperbolic functions and investigated their stability. It has been found that the introduction of more dispersive effects increases the stability range. 2000 Mathematics Subject Classification. 35Q53
We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a g...
The traveling wave solutions of the newly proposed KdV–Burgers–Fisher equation, which is a dispersio...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---eq...
Abstract. We have derived solitary wave solutions of generalized KdV-type equations of fifth order i...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
Abstract: Although the modified simple equation (MSE) method effectively provides exact traveling wa...
Abstract. This work presents new results about the instability of solitary-wave solutions to a gener...
AbstractBifurcation method of dynamical systems is employed to investigate bifurcation of solitary w...
Abstract. In this work, we consider solitary wave solutions of a generalized higher-order shallow wa...
In this paper we investigate the orbital stability of solitary waves to the (generalized) Kawahara e...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a g...
The traveling wave solutions of the newly proposed KdV–Burgers–Fisher equation, which is a dispersio...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---eq...
Abstract. We have derived solitary wave solutions of generalized KdV-type equations of fifth order i...
We consider the stability of solitary waves of a class of 5th order KdV equations. It is known that ...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave soluti...
In this paper we review the physical relevance of a Korteweg–de Vries (KdV) equation with higher-ord...
Abstract: Although the modified simple equation (MSE) method effectively provides exact traveling wa...
Abstract. This work presents new results about the instability of solitary-wave solutions to a gener...
AbstractBifurcation method of dynamical systems is employed to investigate bifurcation of solitary w...
Abstract. In this work, we consider solitary wave solutions of a generalized higher-order shallow wa...
In this paper we investigate the orbital stability of solitary waves to the (generalized) Kawahara e...
This work presents new results about the instability of solitary-wave solutions to a generalized fif...
We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a g...
The traveling wave solutions of the newly proposed KdV–Burgers–Fisher equation, which is a dispersio...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---eq...