Conserved Quantities for the General Linear Heat Equation

Authors

  • Adil Jhangeer Deanship of Educational Services, Preparatory Year Unit, Qassim University, P.O. Box 6595, Al-Qassim,Buraidah: 51452, Kingdom of Saudi Arabia.
  • Fahad Al-Mufadi College of Engineering, Department of Mechanical Engineering, Qassim University, P.O. Box 6595, Al-Qassim,Buraidah: 51452, Kingdom of Saudi Arabia.

DOI:

https://doi.org/10.24297/jap.v12i4.4418

Keywords:

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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Published

2016-12-30

How to Cite

Jhangeer, A., & Al-Mufadi, F. (2016). Conserved Quantities for the General Linear Heat Equation. JOURNAL OF ADVANCES IN PHYSICS, 12(4), 4437–4439. https://doi.org/10.24297/jap.v12i4.4418

Issue

Vol. 12 No. 4 (2016)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.