Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry

Anjan Biswas; Jose Vega-Guzman; Anupma Bansal; Abdul H. Kara; Abdullah Kamis Alzahrani; Qin Zhou; Milivoj R. Belic

doi:10.1016/j.rinp.2019.102850

Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry

Anjan Biswas
, Jose Vega-Guzman
, Anupma Bansal
, Abdul H. Kara
, Abdullah Kamis Alzahrani
, Qin Zhou^*
, Milivoj R. Belic

^*Corresponding author for this work

Alabama A and M University
King Abdulaziz University
Moscow Engineering Physics Institute
Tshwane University of Technology
Lamar University
D.A.V. College for Women
University of the Witwatersrand
Wuhan Donghu University
Texas A&M University at Qatar

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

42 Citations (Scopus)

Abstract

This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry. Finally, multiplier approach yielded two conservation laws supported by the model. These are power and Hamiltonian that are expressed in quadratures.

Original language	English
Article number	102850
Journal	Results in Physics
Volume	16
DOIs	https://doi.org/10.1016/j.rinp.2019.102850
Publication status	Published - Mar 2020
Externally published	Yes

Keywords

Conservation laws
Dromions
Kundu–Mukherjee–Naskar equation
Lie symmetry

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10.1016/j.rinp.2019.102850

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title = "Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry",

abstract = "This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry. Finally, multiplier approach yielded two conservation laws supported by the model. These are power and Hamiltonian that are expressed in quadratures.",

keywords = "Conservation laws, Dromions, Kundu–Mukherjee–Naskar equation, Lie symmetry",

author = "Anjan Biswas and Jose Vega-Guzman and Anupma Bansal and Kara, \{Abdul H.\} and Alzahrani, \{Abdullah Kamis\} and Qin Zhou and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2019 The Authors",

year = "2020",

month = mar,

doi = "10.1016/j.rinp.2019.102850",

language = "English",

volume = "16",

journal = "Results in Physics",

issn = "2211-3797",

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TY - JOUR

T1 - Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry

AU - Biswas, Anjan

AU - Vega-Guzman, Jose

AU - Bansal, Anupma

AU - Kara, Abdul H.

AU - Alzahrani, Abdullah Kamis

AU - Zhou, Qin

AU - Belic, Milivoj R.

PY - 2020/3

Y1 - 2020/3

N2 - This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry. Finally, multiplier approach yielded two conservation laws supported by the model. These are power and Hamiltonian that are expressed in quadratures.

AB - This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry. Finally, multiplier approach yielded two conservation laws supported by the model. These are power and Hamiltonian that are expressed in quadratures.

KW - Conservation laws

KW - Dromions

KW - Kundu–Mukherjee–Naskar equation

KW - Lie symmetry

UR - https://www.scopus.com/pages/publications/85076271531

U2 - 10.1016/j.rinp.2019.102850

DO - 10.1016/j.rinp.2019.102850

M3 - Article

AN - SCOPUS:85076271531

SN - 2211-3797

VL - 16

JO - Results in Physics

JF - Results in Physics

M1 - 102850

ER -

Optical dromions, domain walls and conservation laws with Kundu–Mukherjee–Naskar equation via traveling waves and Lie symmetry

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Keywords

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