Premium
Symmetry analysis of the nonlinear two‐dimensional Klein–Gordon equation with a time‐varying delay
Author(s) -
Long FengShan,
Meleshko S. V.
Publication year - 2017
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.4332
Subject(s) - mathematics , nonlinear system , invariant (physics) , klein–gordon equation , symmetry (geometry) , independent equation , mathematical analysis , symmetry group , function (biology) , partial differential equation , mathematical physics , geometry , physics , quantum mechanics , evolutionary biology , biology
The group analysis method is applied to the two‐dimensional nonlinear Klein–Gordon equation with time‐varying delay. Determining equations for equations with a time‐varying delay are derived. A complete group classification of the studied equation with respect to the function involved into the equation is obtained. All admitted Lie algebras are classified. By using the classifications, representations of all invariant solutions are found. Copyright © 2017 John Wiley & Sons, Ltd.