Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes
This article examines the complex Ginzburg–Landau equation with the beta time derivative
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …
New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity
H Rezazadeh - Optik, 2018 - Elsevier
In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with
Kerr law nonlinearity according to the new extended direct algebraic method. When …
Kerr law nonlinearity according to the new extended direct algebraic method. When …
[HTML][HTML] Dynamics of resonant soliton, novel hybrid interaction, complex N-soliton and the abundant wave solutions to the (2+ 1)-dimensional Boussinesq equation
The presented work concerns with some novel solutions of the (2+ 1)-dimensional
Boussinesq equation (BE), which acts as an important model for shallow water wave. Some …
Boussinesq equation (BE), which acts as an important model for shallow water wave. Some …
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation
MMA Khater, MS Mohamed, RAM Attia - Chaos, Solitons & Fractals, 2021 - Elsevier
Through five latest numerical schemes (Adomian decomposition (AD), El Kalla (EK), cubic B-
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …
On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques
M Khater, B Ghanbari - The European Physical Journal Plus, 2021 - Springer
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …
equation, which have not yet been presented for this equation. This equation arises in …
New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
K Hosseini, R Ansari - Waves in Random and Complex Media, 2017 - Taylor & Francis
In this paper, the nonlinear Boussinesq equations with the conformable time-fractional
derivative are solved analytically using the well-established modified Kudryashov method …
derivative are solved analytically using the well-established modified Kudryashov method …
A variety of solitons to the sixth-order dispersive (3+ 1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities
This study examines the exact soliton solutions under the effect of cubic-quintic-septic
nonlinearities for a sixth-order (3+ 1)-dimensional nonlinear time-fractional Schrödinger …
nonlinearities for a sixth-order (3+ 1)-dimensional nonlinear time-fractional Schrödinger …
The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics
In this paper, using the Painleve property, the traveling wave transformation, and the sine-
Gordon expansion method (SGEM), the Tzitzéica type evolution equations in nonlinear …
Gordon expansion method (SGEM), the Tzitzéica type evolution equations in nonlinear …
Optical solitons and conservation law of Kundu–Eckhaus equation
This paper obtains optical soliton solutions to the Kundu–Eckhaus equation with general
coefficients. The Riccati–Bernoulli's sub-ODE method as well as Kudryashov's scheme are …
coefficients. The Riccati–Bernoulli's sub-ODE method as well as Kudryashov's scheme are …
Soliton solutions of the conformable fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity
In this article, the Riccati sub equation method is employed to solve fractional Zakharov–
Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable …
Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable …