Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan (Φ (ξ)/2)-expansion method

J Manafian - Optik, 2016 - Elsevier
We analytically study the Schrödinger type nonlinear evolution equations by improved tan
(Φ (ξ)/2)-expansion method. Explicit solutions are derived, which include optical bright …

Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method

AR Seadawy, D Kumar… - The European Physical …, 2018 - epjplus.epj.org
The (2+ 1)-dimensional hyperbolic and cubic-quintic nonlinear Schrödinger equations
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …

Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics: Dispersive dark optical soliton with Tzitzéica...

J Manafian, M Lakestani - Optical and Quantum Electronics, 2016 - Springer
A improvement of the expansion methods namely the improved\tan\left (\varPhi (ξ)/2\right)
tan Φ (ξ)/2-expansion method for solving the Tzitzéica type nonlinear evolution equations is …

Optical solitons of (3+ 1) dimensional and coupled nonlinear Schrodinger equations

IE Inan, M Inc, H Rezazadeh, L Akinyemi - Optical and Quantum …, 2022 - Springer
In this paper, we implemented extended exp-φ ξ-expansion method for some exact solutions
of (3+ 1)-dimensional nonlinear Schrödinger equation (NLSE) and coupled nonlinear …

[HTML][HTML] Applications of two novel techniques in finding optical soliton solutions of modified nonlinear Schrödinger equations

B Ghanbari, D Baleanu - Results in Physics, 2023 - Elsevier
Finding optical soliton solutions to nonlinear partial differential equations has become a
popular topic in recent decades. The primary goal of this study is to identify a diverse …

Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion

N Ozdemir, A Secer, M Ozisik, M Bayram - Optik, 2022 - Elsevier
Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–
Hirota equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which …

Application of tan (ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity

J Manafian, M Lakestani - Optik, 2016 - Elsevier
In this paper, the improved tan (Φ (ξ)/2)-expansion method is proposed to seek more
general exact solutions of the new partial differential equation. Being concise and …

Exact optical solitons to the perturbed nonlinear Schrödinger equation with dual-power law of nonlinearity

N Savaissou, B Gambo, H Rezazadeh, A Bekir… - Optical and Quantum …, 2020 - Springer
In this paper, the perturbed nonlinear Schrödinger equation with dual-power law of
nonlinearity is studied by adopting four mathematical methods namely the Modified …

Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation

D Huang, D Li, H Zhang - Chaos, Solitons & Fractals, 2007 - Elsevier
In this paper, a new auxiliary equation expansion method and its algorithm is proposed by
studying a first order nonlinear ordinary differential equation with a sixth-degree nonlinear …

Bright, dark and hybrid multistrip optical soliton solutions of a non-linear Schrödinger equation using modified extended tanh technique with new Riccati solutions

S Ahmad, Salman, A Ullah, S Ahmad… - Optical and Quantum …, 2023 - Springer
This paper focus on new optical soliton solutions of a nonlinear Schrödinger equation with
self-frequency shift, and kerr nonlinearity terms. We utilize the extended version of modified …