Open AccessLie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions
Author(s) -
Jin-Jin Mao,
ShouFu Tian,
Tiantian Zhang,
Xuehua Yan
Publication year - 2020
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2020.25.16653
Subject(s) - conservation law , symmetry (geometry) , homogeneous space , nonlinear system , nonlinear schrödinger equation , mathematics , envelope (radar) , convergence (economics) , burgers' equation , riccati equation , vector field , schrödinger equation , mathematical physics , mathematical analysis , partial differential equation , physics , computer science , quantum mechanics , geometry , telecommunications , radar , economics , economic growth
In this work, we consider the chiral nonlinear Schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media. We employ the Lie symmetry analysis method to study the vector field and the optimal system of the equation. The similarity reductions are analyzed by considering the optimal system. Furthermore, we find the power series solution of the equation with convergence analysis. Based on a new conservation law, we construct the conservation laws of the equation by using the resulting symmetries.