Results 1 to 10 of about 40,241 (208)
AIMS Mathematics, 2023 <abstract> <p>In this paper, the traveling wave solution of the Fokas system which represents the irregular pulse propagation in monomode optical fibers is studied by using the complete discriminant system method of polynomials. Firstly, the Fokas system is simplified into nonlinear ordinary differential equations by using the traveling ...
Kun Zhang, Tianyong Han, Zhao Li
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Results in Physics, 2021 The work of this article is to transform the famous nonlinear space–time fractional shallow water wave equations, namely coupled Korteweg-de Vries equations into ordinary differential equations via the complex fractional traveling wave transformation, and find the exact solutions through the complete discrimination system for polynomial method.
Nan Yang +3 more
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Chaos analysis and traveling wave solutions for fractional (3+1)-dimensional Wazwaz Kaur Boussinesq equation with beta derivative. [PDF]
Sci RepWazwaz Kaur Boussinesq (WKB) equation can effectively simulate the behavior of water waves in shallow water, including the nonlinear effect and dispersion phenomenon of waves, which is of great significance for understanding the dynamic process of ocean,
Zhao S.
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Results in Physics, 2022 In this paper, we study the optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity in optical fibers. Through the trial equation method and the complete discrimination system for polynomial, we get various optical wave
Jian Zhang
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The patterns of traveling wave on shallow water modeled by Green-Naghdi equation [PDF]
MATEC Web of Conferences, 2022 The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave
Wei Haitong
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Computational and Mathematical Methods, 2022 The purpose of this article is to explore different types of solutions for the Kadomtsev-Petviashvili-modified Kadomtsev-Petviashvili (KP-mKP) equation which is termed as KP-Gardner equation, extensively used to model strong nonlinear internal waves in ( 1 + 2
Tanay Sarkar +2 more
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Results in Physics, 2023 In this paper, the traveling wave solutions of the model of magneto-optic waveguide with anti-cubic nonlinearity are obtained by using the complete discrimination system for polynomial method, including singular solutions, solitary wave solutions,and ...
Jia-Xuan Tang, Xin Su
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Results in Physics, 2023 It is of great significance to explore the physical properties of optical propagation, thus the scholars are keen on the physical essence represented by classical mathematical physics equations.
Tianxing Wei +6 more
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Results in Physics, 2021 The main idea of this paper is to search for all traveling wave solutions to an intrinsic fractional discrete nonlinear electrical transmission line, which plays a essential role in obtaining the new insights in nonlinear voltage dynamics.
Shuangqing Chen +5 more
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Results in Physics, 2021 This paper studies the traveling wave modes for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index.
Li-Feng Guo, Wan-Rong Xu
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