The three-dimensional (3-D) nonlinear and dispersive PDEs system for surface waves
propagating at undisturbed water surface under the gravity force and surface tension effects …

The behavior of nonlinear waves within a modified Zakharov–Kuznetsov equation and their
interactions with discrete electric lattice structures are examined in this study. The ϕ 6 …

Analytical solutions of the van der Waals normal form for fluidized granular media have been
done to study the phase separation phenomenon by using two different exact methods. The …

In this study, we apply the commutative hyper complex algebraic method to solve
analytically the Doubly Dispersive Equation (DDE) in (1+ 1)-D, for the strain waves …

In this research, the surface waves of a horizontal fluid layer open to air under gravity field
and vertical temperature gradient effects are studied. The governing equations of this model …

Some classes of nonlinear partial differential equations can be reduced to more tractable
single nonlinear equations via the lowest order of the perturbed reductive technique. The …

In this paper, we construct new exact solutions of the reaction–diffusion equation with time
dependent variable coefficients by employing the mathematical computation via the …

This paper is devoted to study the (1+ 1)-dimensional coupled cubic–quintic complex
Ginzburg–Landau equations (cc–qcGLEs) with complex coefficients. This equation can be …

In this work, we use the factorization method to find explicit exact particular traveling wave
solutions for the nonlinear wave equation with dissipation and nonlinear transport term. The …

The (2+ 1)\left (2+ 1\right)‐dimensional coupled cubic–quintic complex Ginzburg–Landau
equations ((2+ 1)\left (2+ 1\right)‐DCC‐QCGLEs) can simulate a variety of binary fluid …