TY  - JOUR
T1  - Symmetries and conservation laws of evolution equations via multiplier and nonlocal conservation methods
AU  - Yasar, Emrullah
AU  - Yildirim, Yakup
PY  - 2017
DA  - January
JF  - New Trends in Mathematical Sciences
PB  - Mustafa BAYRAM
WT  - DergiPark
SN  - 2147-5520
SP  - 128
EP  - 136
VL  - 5
IS  - 1
LA  - en
AB  - In this work, we have applied a new technique which isa union of multiplier and Ibragimov’s nonlocal conservation method for constructingthe local conservation laws of nonlinear evolution equations. One can concludethat the higher order solutions of adjoint equation can be obtained by themultiplier functions. The Lax equation and generalized Hirota-Satsuma coupledKdV system are chosen to illustrate the effectiveness of the method. Thus, wehave obtained a plenty of local (some of them are the higher order)conservation laws. The combined method presents a wider applicability forhandling the conservation laws of nonlinear wave equations.
KW  - Lax equation
KW  - generalized Hirota-Satsuma coupled KdV system
KW  - symmetry
KW  - conservation laws
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UR  - https://dergipark.org.tr/tr/pub/ntims/article/530121
L1  - https://dergipark.org.tr/tr/download/article-file/654192
ER  -