This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

In this article, our focus is to extract the diverse exact solutions to the conformable time-
fractional modified nonlinear Schrödinger equation (CTFMNLSE) that describes the …

This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation
(GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink …

In this article, propagation of solitary wave solutions to the Pochhammer-Chree equation
(PC) are investigated. Different kinds of solutions like bright-dark, kink, singular, hyperbolic …

Abstract The Jaulent–Miodek (JM) system is investigated analytically in this study. The JM
equation comes with energy-dependent Schrödinger potential which is used in fluid …

In this article, we study the double chain deoxyribonucleic acid (DNA) system, the work will
be carried out via appropriate transformations. Distinct types of soliton solutions, namely …

In this study, we investigate a system of equations based on ion sound and Langmuir waves
equations using a generalized exponential rational function, and a new technique named as …

We present the unified method and use it to integrate the ion sound and Langmuir waves
(ISLW) model to retrieve optical soliton solutions. Some new dynamical optical solitons …

The article studies the exact traveling wave solutions to the Schrödinger-Poisson system
which has applications in gravity's role of quantum state and approximate the coupling …

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