Results 71 to 80 of about 11,583,195 (198)
Journal of New TheoryThis comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
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Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad +4 more
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 more
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Investigation of Dark and Bright Soliton Solutions of Some Nonlinear Evolution Equations
ITM Web of Conferences, 2018 In this paper, generalized Kudryashov method (GKM) is used to find the exact solutions of (1+1) dimensional nonlinear Ostrovsky equation and (4+1) dimensional Fokas equation. Firstly, we get dark and bright soliton solutions of these equations using GKM.
Demiray Seyma Tuluce, Bulut Hasan
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor +5 more
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, 2021 In this study, we applied the generalized Kudryashov method to two different conformable fractional differential equations and one system namely Burgers’ equation with conformable derivative, Wu-Zhang system with conformable derivative, and the ...
Kaplan M., Akbulut A. +3 more
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This work presents a systematic and significantly applicable methodology for exploring nonlinear evolution equations (NLEE) with variable coefficients. In this analysis, we employ the modified G′G2‐expansion method adapted for variable coefficients to derive soliton wave solutions corresponding to the most general form of the time‐dependent variable ...
Sumaira Khan +6 more
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, 2023 This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since
Ramazan TEKERCİOĞLU +1 more
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The system of equations for the ion sound and Langmuir waves and its new exact solutions
Results in Physics, 2018 The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy +3 more
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New explicit optical solitons of fractional nonlinear evolution equation via three different methods
Results in Physics, 2020 We determine optical solutions of the fractional-order Heisenberg models of ferromagnetic spin chains. We use three different techniques known as the method of new sub-equation, extended Kudryashov expansion and auxiliary equation.
Luu Vu Cam Hoan +5 more
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