Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics

Nikolay A. Kudryashov; Daniil R. Nifontov; Anjan Biswas

doi:10.1016/j.physleta.2024.130037

Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics

Nikolay A. Kudryashov^*, Daniil R. Nifontov, Anjan Biswas

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schrödinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.

Original language	English
Article number	130037
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	528
DOIs	https://doi.org/10.1016/j.physleta.2024.130037
Publication status	Published - 28 Dec 2024
Externally published	Yes

Keywords

Analytical solution
Conservation law
Conserved density
Resonant nonlinear Schrödinger equation

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10.1016/j.physleta.2024.130037

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abstract = "The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schr{\"o}dinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.",

keywords = "Analytical solution, Conservation law, Conserved density, Resonant nonlinear Schr{\"o}dinger equation",

author = "Kudryashov, {Nikolay A.} and Nifontov, {Daniil R.} and Anjan Biswas",

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AU - Kudryashov, Nikolay A.

AU - Nifontov, Daniil R.

AU - Biswas, Anjan

PY - 2024/12/28

Y1 - 2024/12/28

N2 - The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schrödinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.

AB - The current paper retrieves the conservation laws for the extended version of the resonant nonlinear Schrödinger's equation for description of physical processes in quantum fluid dynamics and quantum optics. The method of multipliers recovers three fundamental conservation laws. Analytical solutions of equation are found taking into account traveling wave reduction. The conserved quantities are subsequently computed from the soliton solution of the model equation that is derived in this work too.

KW - Analytical solution

KW - Conservation law

KW - Conserved density

KW - Resonant nonlinear Schrödinger equation

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U2 - 10.1016/j.physleta.2024.130037

DO - 10.1016/j.physleta.2024.130037

M3 - Article

AN - SCOPUS:85208324227

SN - 0375-9601

VL - 528

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 130037

ER -

Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics

Abstract

Keywords

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