Exact solutions and dynamic properties of Ito-Type coupled nonlinear wave equations

Kai, Yue; Ji, Jialiang; Yin, Zhixiang

doi:10.1016/j.physleta.2021.127780

Cited by 16 publications

(4 citation statements)

References 19 publications

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“…And are widely used by excellent scholars such as Biswas, Gurefe, and Bulut et al to solve nonlinear partial differential equations [38][39][40][41][42][43][44]. Moreover, we rewrite the equation into a dynamic system, and analyze the dynamic properties such as equilibrium points [45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ2 and χ3 nonlinear susceptibilities

Chen

2023

Preprint

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This paper studies the exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ 2 and χ 3 nonlinear susceptibilities. We propose a new trial equation method to find the exact solutions of the model. We also analyze the dynamic properties of the model equation by complete discriminant system for polynomial method. In addition, we assign specific values to the parameters to prove the existence of exact solutions, and giving the two-dimensional diagrams to demonstrate the dynamical behavior of the model. The obtained abundant exact solutions are beneficial for better study of the stochastic perturbation model of optical solitons.

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Section: Introductionmentioning

confidence: 99%

Exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ2 and χ3 nonlinear susceptibilities

Chen

2023

Preprint

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“…The CDSPM is proposed by Liu [25][26][27] and has been successfully applied to a series of integer-order [28,29] and fractional-order equations [30][31][32][33][34]. Then, Kai et al found that this method could also be used to conduct qualitative analysis [35], and combining with the bifurcation method, we can even establish the existence of the soliton and periodic solution [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions and Dynamic Properties of the Perturbed Nonlinear Schrödinger Equation with Conformable Fractional Derivatives Arising in Nanooptical Fibers

Shu-xin

Chen

2022

Advances in Mathematical Physics

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The main idea of this paper is to investigate the exact solutions and dynamic properties of a space-time fractional perturbed nonlinear Schrödinger equation involving Kerr law nonlinearity with conformable fractional derivatives. Firstly, by the complex fractional traveling wave transformation, the traveling wave system of the original equation is obtained, then a conserved quantity, namely, the Hamiltonian, is constructed, and the qualitative analysis of this system is conducted via this quantity by classifying the equilibrium points. Moreover, the existences of the soliton and periodic solution are established via the bifurcation method. Furthermore, all exact traveling wave solutions are constructed to illustrate our results explicitly by the complete discrimination system for the polynomial method.

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“…[30,31], we can get new solutions, they are singular rational patterns and elliptic function patterns. This method is proposed by Liu [32][33][34][35][36][37][38][39] and are widely used to solve exact solutions of mathematical physics equations [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. From the new patterns we obtained, we can better understand the dynamic behaviors of the model.…”

Section: Introductionmentioning

confidence: 99%

Optical solitons of Sasa-Satsuma model in birefringent fibers

Zhang¹

2022

Preprint

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This paper studies the propagation of optical solitons of the Sasa-Satsuma model in birefringent fibers. By the complete discrimination system for polynomial, we get three types of optical wave patterns for the model, where singular rational patterns and elliptic functions double periodic patterns are new propagation patterns. Besides, we show the temporal-space structures and propagation properties for some patterns with specific parameter values by drawing graphs.

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Exact solutions and dynamic properties of Ito-Type coupled nonlinear wave equations

Cited by 16 publications

References 19 publications

Exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ2 and χ3 nonlinear susceptibilities

Exact solutions and dynamic properties of the stochastic governing model for embedded solitons with χ2 and χ3 nonlinear susceptibilities

Exact Solutions and Dynamic Properties of the Perturbed Nonlinear Schrödinger Equation with Conformable Fractional Derivatives Arising in Nanooptical Fibers

Optical solitons of Sasa-Satsuma model in birefringent fibers

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