New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

Tarla, Sibel; Ali, Karmina K.; Yılmazer, Reşat; Osman, M. S.

doi:10.1007/s11082-022-03527-9

Cited by 61 publications

(10 citation statements)

References 52 publications

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“…Precise protracted predictions are unattainable with the existing technologies owing to this nonlinearity [4,5,6]. Various analytical methods have been utilized to solve different kinds of nonlinear equations, such as the extended direct algebraic method [7], the extended trial function method [8,9], the inverse scattering method [10], the Kudryashov expansion and sine-cosine method [11], the Jacobi elliptic function [12,13,14], modified generalized exponential rational function [15] and many others [16,17,18,19,20,21,22,23,24,25,26,27,29,30,31].…”

Section: Introductionmentioning

confidence: 99%

Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity

et al. 2023

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In this article, we examine the Perturbed Gerdjikov-Ivanov equation by using the Jacobi elliptic function expansion method. This results in obtaining distinct solutions including dark, bright, singular solitons, periodic waves, singular periodic waves, and Jacobi elliptic function solutions. The 2-and 3-dimensional graphs of the reported solutions are presented. The reported results may be useful in explaining the physical features of the studied equation.

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Section: Introductionmentioning

confidence: 99%

Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity

et al. 2023

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“…The study of nonlinear physical models rely on the analysis of wave solutions for nonlinear equations. Recently, numerous and varied methods have been applied to solve NPDEs, like the the VIM [1], the the BM [2] the HBM [3], the the JEFM [4], and others.…”

Section: Introductionmentioning

confidence: 99%

Soliton Solutions of the Nonlinear Time Fractional Harry Dym Equation in the Caputo Sense and the Symmetric Regularized Long Wave Equation in the Conformable Sense

Aderyani

Saadati

O’Regan

et al. 2023

Preprint

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In this paper, we apply two different methods, namely, the G G-expansion method and G G 2-expansion method to investigate the nonlinear time fractional Harry Dym equation in the Caputo sense and the symmetric regularized long wave equation in the conformable sense. The mentioned NPDES arise in diverse physical applications like ion sound waves in plasma and waves on shallow water surfaces. There exist multiple wave solutions to many NPDEs and one is interested in analytical approaches for obtaining multiple wave solutions to NPDEs. The multi-exp-function method formulates a solution algorithm for calculating multiple wave solutions to NPDEs and at the end of paper, we apply the MEFM for calculating multiple wave solutions to the (2+1)-dimensional equation.

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“…Using HM method, Kmuar et al investigated lump soliton and its collision with other soliton of two-mode Caudrey-Dodd-Gibbon and Sawada-Kotera equations [28]. Some other methods for finding new exact solutions and solitons of nonlinear PDEs can be found in [29][30][31]. Manju and Kumar [32] have generated the Lie point symmetry generators and discussed the stability analysis nby using the bifurcation theory of the (2 + 1) − dimensional Nizhnik-Novikov-Veselov equation.…”

Section: Introductionmentioning

confidence: 99%

The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach

Faridi,

AlQahtani

2023

Phys. Scr.

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This work scrutinizes the well-known nonlinear non-classical Sobolev-type wave model whichaddress the flow of fluid via fractured rock, thermodynamics and many other fields of modernsciences. The symmetry generators are taking into account the Lie invariance criteria. Thesuggested approach produces the three dimensional Lie algebra, where translation symmetriesin space and time are associated to mass conservation and conservation of energy respectively,the other symmetries are scaling or dilation. The nonlinear non-classical Sobolev-type wavepartial differential equation is transformed into a system of highly nonlinear ordinary differentialequation by employing appropriate similarity transformations through using Lie groupmethodology. The power series technique is used to generate exact wave solutions because theinverse scattering transform cannot solve the Cauchy problem for this equation. The graphicalbehaviour of certain solutions is demonstrated in 3-D and 2-D for particular quantities of thephysical factors in the investigated equation.

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New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

Cited by 61 publications

References 52 publications

Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity

Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity

Soliton Solutions of the Nonlinear Time Fractional Harry Dym Equation in the Caputo Sense and the Symmetric Regularized Long Wave Equation in the Conformable Sense

The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach

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