Abstract This research explores a (2+ 1)-D generalized Camassa–Holm–Kadomtsev–
Petviashvili model. We use a probable transformation to build bilinear formulation to the …

Under inquisition in this paper is a (2+ 1)-dimensional Breaking Soliton equation, which can
describe various nonlinear scenarios in fluid dynamics. Using the Bell polynomials, some …

We introduce a new integral scheme namely improved Kudryashov method for solving any
nonlinear fractional differential model. Specifically, we apply the approach to the nonlinear …

This study presents a modification form of modified simple equation method, namely new
modified simple equation method. Multiple waves and interaction of soliton solutions of the …

In this research a new fractional-order derivative is defined and applied to the fractional
perturbed Chen–Lee–Liu nonlinear equation. Analytical soliton solutions are obtained by …

Transport phenomena with fluid flow, heat, mass, nanoparticle species and microorganism
transfer external to a needle in a porous medium have many biomedical engineering …

Novel solutions for the nonlinear dynamics of Schrödinger equation for polynomial law
medium with third-order dispersion (TOD), fourth-order dispersion (FOD), and self …

This paper focuses on the generalized Calogero–Bogoyavlenskii–Schiff equation to extract
new complex solutions by using two analytical methods, namely, Bernoulli sub-equation …

In this research we present the application of the modified double sub-equation guess
solution together with the analytical solutions of the Riccati equation to obtain new analytical …

In this work, we use a novel fractional-order derivative for the fractionally perturbed Chen–
Lee–Liu nonlinear equation. The new extended hyperbolic function (EHF) method is applied …