New solutions for chirped optical solitons related to Kaup-Newell equation: Application to plasma physics

Salas, Alvaro H.; El-Tantawy, S. A.; Youssef, Amr Abd Al-Rahman

doi:10.1016/j.ijleo.2020.165203

Cited by 15 publications

(4 citation statements)

References 36 publications

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“…Strict models can make adjustments to the soliton profile. The presented results can be generalized to other models of solitons, both acoustic [29,52,53] and non-acoustic [54,55].…”

Section: Discussionmentioning

confidence: 81%

Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons

Trukhachev¹,

Vasiliev²,

Петров³

et al. 2021

J. Phys. A: Math. Theor.

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Properties of weakly dissipative dust-acoustic solitons are analyzed on the basis of the hydrodynamic and single-particle approximation (Lagrangian–Euler approach). Significant differences between dissipative and conservative solitons are found. Particle-wave microdynamic parameters such as trajectories, phase trajectories, and drift velocity of dust particles under the action of a cascade of solitons are calculated. It is shown that dissipation is responsible for the interconnection of solitons in the ensemble. In addition, dissipative solitons significantly affect the environment comparing with conservative ones. The heat release processes that determine the production of entropy are analyzed. The role of dissipation in the ordering of charged particles trajectories is revealed. The theoretical results are in a reasonable agreement with known experimental data.

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“…Strict models can make adjustments to the soliton profile. The presented results can be generalized to other models of solitons, both acoustic [29,52,53] and non-acoustic [54,55].…”

Section: Discussionmentioning

confidence: 81%

Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons

Trukhachev¹,

Vasiliev²,

Петров³

et al. 2021

J. Phys. A: Math. Theor.

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“…Before that, to obtain Fuchs indices, we equate the determinant of matrix (14) to zero. This yields the following algebraic equation for j: j 5 − 9j 4…”

Section: Painlevé Test For the System Of Ordinary Differential Equati...mentioning

confidence: 99%

“…Third-and higher-order equations from this hierarchy have not received as much attention as the second-order equation, which is the first equation of the hierarchy (for papers on that equation, see, for example, refs. [1][2][3][4][5][6][7]). In [8], a model for an integrable system of long lattice waves was derived, which is now known as the second equation of the Kaup-Newell hierarchy (1).…”

Section: Introductionmentioning

confidence: 99%

Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation

Kudryashov,

Lavrova

2024

Mathematics

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The second partial differential equation from the Kaup–Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean. The integrability of the explored equation in traveling wave variables is investigated using the Painlevé test. Periodic and solitary wave solutions of the studied equation are presented. The investigated equation belongs to the class of generalized nonlinear Schrödinger equations and may be used for the description of optical solitons in a nonlinear medium.

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“…Since the 1970s, it has become really popular with researchers into chaos, as it is possibly one of the simplest equations that describes chaotic behavior of a system. is equation is also useful in the study of soliton solutions to important physics models such as KdV equation, mKdV equation, sine-Gordon equation, Klein-Gordon equation, nonlinear Schrodinger equation, and shallow water wave equation [8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%