Fractional partial differential equations emerge as a prominent research area in recent times
owing to their ability to depict intricate physical phenomena. Discovering travelling wave …

New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of
the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries …

The two-dimensional nonlinear complex coupled Maccari system is a significant model in
optics, quantum mechanics, plasma physics, hydrodynamics and some other fields. In this …

In this paper, we apply an analytical algorithm, namely the modified auxiliary equation
method, to investigate the complex wave structures for abundant solutions related to the …

In this work, we propose a new optimal perturbation iteration method for solving the
generalized Fitzhugh–Nagumo equation with time-dependent coefficients. This research …

In this article we have presented the analytical analysis of coupled integrable (2+ 1)-
dimensional Maccari System with the aid of newly developed technique named as an …

This paper studies the exact traveling wave solutions to the nonlinear Dullin–Gottwald–Holm
model which has the application in shallow-water waves in which the fractional derivative is …

In this article, new and general exact traveling wave solutions including soliton-like
solutions, triangular-type solutions, single and combined nondegenerate Jacobi elliptic …

Lump (rational) waves and their interactions with kink and periodic waves, periodic cross-
lump solutions will be discussed for (2+ 1)-dimensional Maccari-system in this paper. With …

The stochastic coupled Maccari's system (MS) is a kind of important nonlinear partial
differential equations to describe fluid flow, plasma physics, nonlinear optics and so on. In …