Journal
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volume 74, Issue 7, Pages 597-604Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/zna-2018-0541
Keywords
Complex Burgers' Equation; Integrability; Reduction of Order; Symmetries
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Funding
- UGC (India)
- NFSC [F1-17.1/201718/RGNF-2017-18-SC-ORI-39488]
- FONDECYT [3160121]
- Department of Science and Technology, Government of India, FIST Programme [SR/FST/MSI-107/2015]
- National Research Foundation of South Africa
- University of KwaZulu-Natal
- Durban University of Technology
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A detailed analysis of the invariant point transformations for the first four partial differential equations which belong to the complex Burgers' hierarchy is performed. Moreover, a detailed application of the reduction process through the Lie-point symmetries is presented while we construct the similarity solutions. We conclude that the differential equations of our consideration are reduced to first-order equations such as the Abel, Riccati, and to a linearisable second-order differential equation by using similarity transformations.
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