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Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation
Author(s) -
Kumar Vikas,
Wazwaz AbdulMajid
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7105
Subject(s) - mathematics , ordinary differential equation , soliton , partial differential equation , pulse (music) , nonlinear system , differential equation , symmetry (geometry) , similarity (geometry) , mathematical analysis , first order partial differential equation , traveling wave , riccati equation , characteristic equation , exact differential equation , physics , quantum mechanics , geometry , voltage , artificial intelligence , computer science , image (mathematics)
The current work is devoted for operating the Lie symmetry approach, to coupled complex short pulse equation. The method reduces the coupled complex short pulse equation to a system of ordinary differential equations with the help of suitable similarity transformations. Consequently, these systems of nonlinear ordinary differential equations under each subalgeras are solved for traveling wave solutions. Further, with the help of similarity variable, similarity solutions and traveling wave solutions of nonlinear ordinary differential equation, complex soliton solutions of the coupled complex short pulse equation are obtained which are in the form of sinh, cosh, sin and cos functions.