This work finds several new traveling wave solutions for nonlinear directional couplers with
optical metamaterials by means of the modified Kudryashov method. This model can be …

In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA
dynamic model equation. This model is studied analytically by hyperbolic and exponential …

This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …

This article presents soliton solutions to the generalized nonautonomous nonlinear
Schrödinger equations (with time-dependent coefficients) via the sine-Gordon expansion …

In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision
phenomena between one-M-lump and one-, two-soliton solutions to the (2+ 1)-dimensional …

The principal objective of this article is to construct new and further exact soliton solutions of
the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates …

This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via
the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the …

In this paper, the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law in
nonlinear optics, which simulates soliton propagation in various waveguides in the presence …

This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that
is taken into account with Kerr law and cubic–quintic–septic nonlinearity. Two approaches …

This paper deals with the numerical solutions and convergence analysis for general singular
Lane–Emden type models of fractional order, with appropriate constraint initial conditions. A …