This paper examines the propagation of M-shape solitons and their interactions with kink
waves to the (2+ 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by …

The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+
1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of …

In this paper, we mainly investigate the fractal-fractional Ablowitz–Kaup–Newell–Segur
model, which is used to describe the propagation of the shallow wave water with unsmooth …

In this paper, the optical soliton solutions are obtained for the modified Korteweg de Vries-
type equation and the dissipative (2+ 1) dimensional Ablowitz–Kaup–Newell–Segur (AKNS) …

Lie group analysis is applied to carry out the similarity reductions of the (3+ 1)(3+ 1)-
dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation. We obtain generators of …

In this research, we introduce and represent the modified Khater method on two basic
models in the optical fiber. These two models describe the dynamics of the wave movement …

By using the truncated Painlevé expansion and consistent Riccati expansion (CRE), we
investigate a dissipative (2+ 1)-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) …

This study explores the intrinsic characteristics of the (2+ 1)-dimensional Schwarz-Korteweg-
de Vries equation used to describe shallow water waves. The multiple solitons are …

A variety of shallow water waves equations in (1+ 1) and (2+ 1) dimensions are investigated.
We first show that these models are completely integrable. We next determine multiple …

The analytical solutions to the (2+ 1)-dimensional integrable Schwarz-Korteweg-de Vries
(SKdV) problem are investigated in this article. To get solitary wave formulae such as …