This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

In this study, we regard the dual-mode nonlinear Schrödinger equation (DMNLSE). The
DMNLSE depicts the propagations of two-moving waves synchronically. The extended …

This work delves into the investigation of the nonlinear dynamics pertaining to the (3+ 1)-
dimensional Kadomtsev-Petviashvili equation, which describes the propagation of long …

Abstract The Kadomtsev–Petviashvili (KP) equation is widely used to model nonlinear wave
phenomena occurring in plasmas and fluids, such as water waves with weak nonlinear …

In this research, we address the problem of solving (1+ 1)-dimensional fractional coupled
nonlinear Schrödinger equations (FCNLSE) with beta derivatives, which are essential for …

In this work, we investigate coupled space–time fractional nonlinear Schrödinger equation
(FNSE) arising in physics. The FNSE can be utilized to explain non-relativistic quantum …

This manuscript offers an in-depth analysis of the behavior of non-dissipative double-
dispersive microstrain waves within microstructured solids, employing the Sardar sub …

This study addresses dual-mode equations, focusing on the nonlinear wave behavior
characterized by simultaneous bidirectional movement influenced by a specific phase …

In this paper, the exact explicit traveling wave solutions to the simplified modified Camassa–
Holm (SMCH) equation. The SMCH equation is a significant nonlinear evolution equation …

The nonlinear Schrödinger equation (NLSE), one of the most fundamental physical models
for understanding the fluctuations of optical soliton development, plays a significant role to …