[HTML][HTML] Analytical behavior of the fractional Bogoyavlenskii equations with conformable derivative using two distinct reliable methods

KS Nisar, OA Ilhan, J Manafian, M Shahriari, D Soybaş - Results in Physics, 2021 - Elsevier
The nonlinear fractional model, videlicet, the space–time fractional (2+ 1)-dimensional
fractional Bogoyavlenskii equations is an important nonlinear mathematical model to …

[HTML][HTML] Optical dark, singular and bright soliton solutions with dual-mode fourth-order nonlinear Schrödinger equation involving different nonlinearities

BE Alam, A Javid - Alexandria Engineering Journal, 2024 - Elsevier
This research article investigates the dynamic characteristics of solitary waves within a
medium exhibiting weak nonlinearity in dual-mode. Firstly, the three models are converted to …

[PDF][PDF] Optical solitons of the extended Gerdjikov-Ivanov equation in DWDM system by extended simplest equation method

SM Hassan, AA Altwaty - Appl. Math. Inf. Sci, 2020 - naturalspublishing.com
The extended simplest equation method has been employed to obtain optical soliton
solutions to the improved Gerdjikov-Ivanov equation in dense wavelength division …

The Improved exp⁡(−Φ(ξ))‐Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

G Chen, X Xin, H Liu - Advances in Mathematical Physics, 2019 - Wiley Online Library
The exp (− Φ (ξ))‐expansion method is improved by presenting a new auxiliary ordinary
differential equation for Φ (ξ). By using this method, new exact traveling wave solutions of …

Solitary wave solutions for the shallow water wave equations and the generalized Klein-Gordon equation using Exp (-ϕ (η))-expansion method

MM Rashid, W Khatun - Journal of Advances in …, 2020 - info.submit4journal.com
In this article, we investigate the exact and solitary wave solutions for the shallow water
wave equations and the generalized Klein-Gordon equation using the exp-expansion …

Symmetry analysis, optimal subalgebra, quasi-self-adjointness condition with conservation laws and analytical solutions for the ()-dimensional Pochhammer …

Vinita, S Saha Ray - Pramana, 2024 - Springer
Abstract In this article, the (1+ 1)-dimensional Pochhammer–Chree (PC) model, which
illustrates a nonlinear scheme of longitudinal wave propagation of elastic bars, is …

Pure traveling wave solutions for three nonlinear fractional models

Q Li, D Soybaş, OA Ilhan, G Singh… - Advances in …, 2021 - Wiley Online Library
Three nonlinear fractional models, videlicet, the space‐time fractional (1+ 1) Boussinesq
equation,(2+ 1)‐dimensional breaking soliton equations, and SRLW equation, are the …

[PDF][PDF] Research Article Pure Traveling Wave Solutions for Three Nonlinear Fractional Models

Q Li, D Soybaş, OA Ilhan, G Singh, J Manafian - 2021 - academia.edu
Three nonlinear fractional models, videlicet, the space-time fractional (1+ 1) Boussinesq
equation,(2+ 1)-dimensional breaking soliton equations, and SRLW equation, are the …