In this paper, we propose a numerical method for the solution of the time-fractional nonlinear
Schrödinger equation in one and two dimensions which appear in quantum mechanics. In …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers equation. Firstly, we obtain a time discrete scheme by …

In this paper, we propose a numerical method for the solution of time fractional nonlinear
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …

The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation
and Schrodinger equation. We perform a new method to take some new solitary wave …

To explore the features of lump solutions, which are local in every direction of space, a (2+
1)-dimensional extended shallow water wave model is studied, based on its bilinear …

In this paper, new operational matrix of integration is generated by using Hermite wavelets.
By aid of these matrices, Hermite wavelets operational matrix method (HWOMM) is …

In this paper, we present the exact solutions obtained for the space–time conformable
generalized Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the …

In recent years, searching exact traveling wave solutions to nonlinear evolution equations
(NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling …

In this article, the analytical solutions to the space-time fractional foam drainage equation
and the space-time fractional symmetric regularized long wave (SRLW) equation are …

In this paper, we present new exact solution sets of nonlinear conformable time-fractional
coupled Drinfeld-Sokolov-Wilson equation which arise in shallow water flow models, when …