In this study, we use cutting-edge analytical and numerical approaches to the Gilson–
Pickering (GP) problem in order to get precise soliton solutions. This model explains wave …

For uni-directional wave transmission in the smooth bottom of shallow sea water and the
superconductivity of nonlinear media with dispersion systems, the (1+ 1)-dimensional …

In this paper, the exact soliton solutions and other exact solutions for nonlinear
Schrodinger's equation having Kudryashov's quintuple power law of refractive index …

In this paper, the nonparaxial solitons in a dimensionless coupled nonlinear Schrödinger
system with cross-phase modulation, which enables the propagation of ultra-broad …

In this article, we investigate the generalized (2+ 1)-dimensional shallow water wave
equation which enables an unidirectional propagation of shallow-water waves. By noticing …

In this paper, the Gilson–Pickering equation is studied which enables a wave propagation in
plasma physics and crystal lattice theory. Based on the auxiliary transformations, some sets …

In this paper, we study the cubic–quintic nonlinear Helmholtz equation which enables a
pulse propagating with Kerr-like and quintic properties further spatial dispersion. By noticing …

In this manuscript, we focus on the application of recently developed analytical scheme,
namely, the rational sine‐Gordon expansion method (SGEM). Some new exact solutions of …

The perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum
actions such as quantum pictures of Bohm potential and internal self-potential properties …

Abstract This study we handled (1+ 1)-dimensional modified-mixed KDV (mmKdV) equation
for unique soliton solutions. For this purpose Firstly, auto-Bäcklund and Cole-Hopf …