THE FRACTAL MODIFICATION OF THE ROSENAU–BURGERS EQUATION AND ITS FRACTAL VARIATIONAL PRINCIPLE

P Xu, FT Long, C Shan, G Li, F Shi, KJ Wang - Fractals, 2024 - World Scientific
A new fractal Rosenau–Burgers equation with He's fractal derivative is proposed in this
work. Exerting the semi-inverse method, two different kinds of the generalized fractal …

[HTML][HTML] On solitary-wave solutions of Rosenau-type equations

A Durán, GM Muslu - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
The present paper is concerned with the existence of solitary wave solutions of Rosenau-
type equations. By using two standard theories, Normal Form Theory and Concentration …

Solitary Wave Propagation of the Generalized Rosenau–Kawahara–RLW Equation in Shallow Water Theory with Surface Tension

AA AL-saedi, O Nikan, Z Avazzadeh, AM Lopes - Symmetry, 2023 - mdpi.com
This paper addresses a numerical approach for computing the solitary wave solutions of the
generalized Rosenau–Kawahara–RLW model established by coupling the generalized …

Dynamical behaviors of the solution to a periodic initial–boundary value problem of the generalized Rosenau-RLW-Burgers equation

T Mouktonglang, S Yimnet, N Sukantamala… - … and Computers in …, 2022 - Elsevier
The behaviors of a solution to a periodic initial–boundary value problem (IBVP) for the
generalized Rosenau-RLW-Burgers equation are analyzed in this paper. Under the …