Symmetries and conservation laws of evolution equations via multiplier and nonlocal conservation methods

Yıl 2017, Cilt: 5 Sayı: 1, 128 - 136, 01.01.2017

Emrullah Yasar , Yakup Yildirim

Öz

In this work, we have applied a new technique which is
a union of multiplier and Ibragimov’s nonlocal conservation method for constructing
the local conservation laws of nonlinear evolution equations. One can conclude
that the higher order solutions of adjoint equation can be obtained by the
multiplier functions. The Lax equation and generalized Hirota-Satsuma coupled
KdV system are chosen to illustrate the effectiveness of the method. Thus, we
have obtained a plenty of local (some of them are the higher order)
conservation laws. The combined method presents a wider applicability for
handling the conservation laws of nonlinear wave equations.

Anahtar Kelimeler

Lax equation, generalized Hirota-Satsuma coupled KdV system, symmetry, conservation laws

Kaynakça

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