Conserved Quantities for the General Linear Heat Equation
DOI:
https://doi.org/10.24297/jap.v12i4.4418Keywords:
Partial Noether approach, Partial Lagrangian, Conserved quantity.Abstract
In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.
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