The investigation of unique optical soliton solutions for dual-mode nonlinear Schrödinger's equation with new mechanisms

B Kopçasız, E Yaşar - Journal of Optics, 2023 - Springer
In this study, we regard the dual-mode nonlinear Schrödinger equation (DMNLSE). The
DMNLSE depicts the propagations of two-moving waves synchronically. The extended …

Construction of different wave structures, stability analysis and modulation instability of the coupled nonlinear Drinfel'd–Sokolov–Wilson model

KU Tariq, AM Wazwaz, R Javed - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, the coupled nonlinear (1+ 1)-dimensional Drinfel'd–Sokolov–Wilson (DSW)
equation in dispersive water waves is investigated. The proposed structure is very important …

A new exploration of some explicit soliton solutions of q-deformed Sinh-Gordon equation utilizing two novel techniques

N Raza, AR Butt, S Arshed, M Kaplan - Optical and Quantum Electronics, 2023 - Springer
In the present work, the q-deformed Sinh-Gordon equation considered by performing new
extended generalized Kudryashov method and improved tan (Φ 2)-expansion method …

[HTML][HTML] Soliton behavior of algae growth dynamics leading to the variation in nutrients concentration

AR Seadawy, M Younis, MS Iqbal, MZ Baber… - Journal of King Saud …, 2022 - Elsevier
This paper provides the effects of nutrients concentrations on the algae growth via solitary
wave analysis and classical existence theory. There is a well known Diffusive Nutrient-Algae …

Analytical soliton solutions of the fractional order dual-mode nonlinear Schrödinger equation with time-space conformable sense by some procedures

B Kopçasız, E Yaşar - Optical and Quantum Electronics, 2023 - Springer
This paper considers the fractional order dual-mode nonlinear Schrödinger equation
(FDMNLSE) with cubic law nonlinearity. The FDMNLSE interprets the concurrent …

[HTML][HTML] Abundant new optical soliton solutions related to q-deformed Sinh–Gordon model using two innovative integration architectures

N Raza, S Arshed, HI Alrebdi, AH Abdel-Aty, H Eleuch - Results in Physics, 2022 - Elsevier
In this article, the q-deformed Sinh–Gordon equation has been investigated using exp (− ϕ
(ξ))-expansion and the generalized projective Riccati equations (GPRE) methods. These …

Integrability, variational principle, bifurcation, and new wave solutions for the Ivancevic option pricing model

AA Elmandouh, ME Elbrolosy - Journal of Mathematics, 2022 - Wiley Online Library
The Ivancevic option pricing model comes as an alternative to the Black‐Scholes model and
depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation …

Propagation of solitons for the Hamiltonian amplitude equation via an analytical technique

S Tarla, KK Ali, R Yilmazer, MS Osman - Modern Physics Letters B, 2022 - World Scientific
This study investigates the Hamiltonian amplitude equation by using the generalized
exponential rational function method. As a result, a variety of soliton solutions have been …

Extraction of solitons from nonlinear refractive index cubic-quartic model via a couple of integration norms

A Batool, N Raza, JF Gomez-Aguilar… - Optical and Quantum …, 2022 - Springer
In this paper, the nonlinear refractive index cubic-quartic model is investigated using the
couple of integration schemes namely, new extended generalized Kudryashov and …

[HTML][HTML] New hyperbolic and rational form solutions of (2+ 1)-dimensional generalized Korteweg-de Vries model

N Raza, A Batool, M Inc - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, to find new wave structures of (2+ 1)-dimensional new generalized Korteweg-
de Vries (ngKdV) equation, extended generalized Kudryashov and improved tan (ϕ 2) …