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 …

The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …

The lump solutions have been shown to be one of the most effective solutions for nonlinear
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …

In this study, the fifth-order modified Korteweg-de Vries (F-MKdV) equation is first addressed
using Hirota's bilinear method. Thereafter, the exact and approximative solutions of the …

The present paper aims to investigate the chirped optical soliton solutions of the nonlinear
Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of …

This work studies two important temporal fractional nonlinear evolution equations, namely
the (2+ 1)-dimensional Chaffee–Infante equation and (1+ 1)-dimensional Zakharov equation …

Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy mapping of …

Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …

Abstract In this article, the (3+ 1)-dimensional KdV–Calogero–Bogoyavlenskii–Schiff
equation, which describes the interactions of long wave propagations and has diverse …

In this manuscript, we are interested to investigate the dynamical behavior of doubly
dispersive equation which governs the propagation of nonlinear waves in the elastic …