Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with $$\varvec{\mathcal {PT}}$$-symmetric HHG potentials

Li, Xin; Wang, Li; Zhou, Zijian; Chen, Yong; Yan, Zhenya

doi:10.1007/s11071-022-07362-1

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2024

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Cited by 11 publications

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“…Partial differential equations (PDEs) play a vital role in the study of engineering and applied mathematics, particularly in fluid mechanics and electromagnetics [1][2][3][4][5]. Nonlinear evolution equations (NLEEs) are foremost in the study of nonlinear phenomena.…”

Section: Introductionmentioning

confidence: 99%

Conservation laws, Lie symmetries, self adjointness, and soliton solutions for the Selkov–Schnakenberg system

Ali,

Seadawy,

Rizvi

et al. 2024

Commun. Theor. Phys.

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In this article, we explore the famous Selkov-Schnakenberg (SS) system of coupled nonlinear partial differential equations (PDEs) for Lie symmetry analysis (LSA), Self Adjointness (SA) and Conservation laws (CLs). Moreover miscellaneous soliton solutions like dark, bright, periodic, rational, Jacobian elliptic function (JEF), Weierstrass elliptic and hyperbolic solutions of SS system will be achieved by a well-known technique called Sub-ODE. All these results are displayed graphically by 3D, 2D and contour plots.

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