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 …

Abundant soliton solutions for the Kundu–Eckhaus equation via tan (ϕ (ξ))-expansion method

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 Kundu–Eckhaus equation. Being concise and straightforward, this …

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 …

[PDF][PDF] Periodic and singular kink solutions of the Hamiltonian amplitude equation

J Manafian, S Heidari - Adv. Math. Models Appl, 2019 - jomardpublishing.com
The study of nonlinear evolution equations (NLEEs) appear everywhere in applied
mathematics and theoretical physics including engineering sciences and biological …

A new sensitive visualization, solitary wave profiles and conservation laws of ion sound waves arising in plasma

R Luo, N Abbas, A Hussain, S Ali - Optical and Quantum Electronics, 2024 - Springer
The current study covers the traveling wave structures of a fourth-order nonlinear symmetric
regularized long-wave (SRLW) equation which emerges in a few actual applications …

Study of the analytical treatment of the (2+ 1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach

J Manafian, M Lakestani, A Bekir - International Journal of Applied and …, 2016 - Springer
In this paper, we applied the improved\tan\left (Φ (ξ)/2\right) tan Φ (ξ)/2-expansion scheme
for the (2+ 1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave …

[HTML][HTML] Transcendental surface wave to the symmetric regularized long-wave equation

K Fatema, ME Islam, M Akhter, MA Akbar, M Inc - Physics Letters A, 2022 - Elsevier
The symmetric regularized long-wave (SRLW) equation describes the attribute of the
nonlinear ion acoustic waves, space charge waves, undular bore in meteorology etc. In this …

New Improvement of the Expansion Methods for Solving the Generalized Fitzhugh‐Nagumo Equation with Time‐Dependent Coefficients

J Manafian, M Lakestani - International Journal of Engineering …, 2015 - Wiley Online Library
An improvement of the expansion methods, namely, the improved tan⁡(Φ (ξ)/2)‐expansion
method, for solving nonlinear second‐order partial differential equation, is proposed. The …

Optical soliton solutions for the higher-order dispersive cubic-quintic nonlinear Schrödinger equation

M Inc, A Yusuf, AI Aliyu, D Baleanu - Superlattices and Microstructures, 2017 - Elsevier
In this paper, we analyze new optical soliton solutions to the higher-order dispersive cubic-
quintic nonlinear Schrödinger equation (NLSE) using three integration schemes. The …

[HTML][HTML] Novel solitary wave solution in shallow water and ion acoustic plasma waves in-terms of two nonlinear models via MSE method

HO Roshid - Journal of Ocean Engineering and Science, 2017 - Elsevier
By using modified simple equation method, we study the generalized RLW equation and
symmetric RLW equation, the subsistence of solitary wave, periodic cusp wave, periodic bell …