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

Research output: Contribution to journalArticlepeer-review

40 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 languageEnglish
Article number102850
JournalResults in Physics
Volume16
DOIs
Publication statusPublished - Mar 2020
Externally publishedYes

Keywords

  • Conservation laws
  • Dromions
  • Kundu–Mukherjee–Naskar equation
  • Lie symmetry

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