In this work, the more common method of travelling wave ansätze will be exploited to find the one-soliton solution of the generalized Kawahara equation (gKE).
Oct 22, 2024 · The travelling wave ansatz is used to find the solitary wave solution of the generalized Kawahara equation. The ansatz is obtained from the ...
This paper addresses a numerical approach for computing the solitary wave solutions of the generalized Rosenau–Kawahara–RLW model
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In this work, we study the generalized Rosenau—KdV equation. We shall use the sech-ansatze method to derive the solitary wave solutions of this equation.
In this paper we investigate the orbital stability of solitary waves to the (generalized) Kawahara equation (gKW) which is a fifth order dispersive equation ...
Oct 16, 2021 · In this paper, an exact solitary wave solution is derived through the Ansatz's method for the generalized Korteweg–de Vries–Kawahara (GKdV-K) ...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---equation and its generalizations is considered.
We obtain some qualitative properties of equilibrium points and existence results of solitary wave solutions for the generalized Kawahara equation without delay ...
Our results reveal that all rational solutions u r ( x + ν t ) and simply periodic solutions u s , 1 ( x + ν t ) of Kawahara equation are solitary wave ...
With the aid of Maple, more new travelling solitary wave and periodic solutions are obtained for the generalized Kawahara equation. Keywords: elliptic ...