Lie symmetries, closed-form solutions, and various dynamical profiles of solitons for the variable coefficient (2+ 1)-dimensional KP equations
This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-
dependent variable coefficients that describe the nonlinear wave propagation of small …
dependent variable coefficients that describe the nonlinear wave propagation of small …
Highly dispersive optical solitons with Kerr law nonlinearity by F-expansion
This paper employs F-expansion scheme to secure bright, dark, singular and other combo
highly dispersive optical solitons when all orders of dispersion up to sixth order are taken …
highly dispersive optical solitons when all orders of dispersion up to sixth order are taken …
Exact solutions for the Cahn–Hilliard equation in terms of Weierstrass-elliptic and Jacobi-elliptic functions
Despite the historical position of the F-expansion method as a method for acquiring exact
solutions to nonlinear partial differential equations (PDEs), this study highlights its …
solutions to nonlinear partial differential equations (PDEs), this study highlights its …
Highly dispersive optical solitons with cubic-quintic-septic law by F-expansion
This paper successfully applied F-expansion algorithm to obtain highly dispersive optical
solitons with cubic-quintic-septic nonlinearity. Bright, dark and singular solitons and their …
solitons with cubic-quintic-septic nonlinearity. Bright, dark and singular solitons and their …
Optical solitons with complex Ginzburg–Landau equation
The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …
and power law nonlinearities. Several integration techniques are applied to retrieve various …
Investigation of the dynamical structures for nonlinear Vakhnenko-Parkes equation using two integration schemes
The dynamic behavior of the Vakhnenko-Parkes equation is examined in this manuscript.
This is an important subject because of its implications for comprehending intricate …
This is an important subject because of its implications for comprehending intricate …
Optical solitons with Kudryashov's equation by F-expansion
The dynamics of solitons, with newly modeled Kudryashov's equation, is revealed in this
paper by the aid of F-expansion scheme. Thus, bright, dark and singular solitons emerged …
paper by the aid of F-expansion scheme. Thus, bright, dark and singular solitons emerged …
Highly dispersive optical solitons with quadratic-cubic law by F-expansion
This paper retrieves, bright, dark and singular highly dispersive optical solitons with
quadratic-cubic law of nonlinearity. The F-expansion scheme is the integration algorithm …
quadratic-cubic law of nonlinearity. The F-expansion scheme is the integration algorithm …
F‐Expansion Method and New Exact Solutions of the Schrödinger‐KdV Equation
F‐expansion method is proposed to seek exact solutions of nonlinear evolution equations.
With the aid of symbolic computation, we choose the Schrödinger‐KdV equation with a …
With the aid of symbolic computation, we choose the Schrödinger‐KdV equation with a …
Optical exact soliton solutions of nonlinear optical transmission equation using two explicit methods
In this research paper, the main aim is to investigate the nonlinear optical transmission
equation (NOTE) with two explicit methods. The NOTE is a nonlinear partial differential …
equation (NOTE) with two explicit methods. The NOTE is a nonlinear partial differential …