On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical... AbstractIn this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it. By an appropriate substitution, we convert this equation into two partial differential equations, which do not have integral terms and are equivalent to the original equation. We then work with the system of two equations and obtain its exact travelling wave solutions in form of Jacobi elliptic functions. Furthermore, we employ the multiplier method to construct conservation laws for the system. Finally, we revert the results obtained into the original variables of the (2+1) dimensional KdV-mKdV equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Physics de Gruyter

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

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Publisher
de Gruyter
Copyright
© 2018 T. Motsepa and C. M. Khalique, published by De Gruyter
ISSN
2391-5471
eISSN
2391-5471
D.O.I.
10.1515/phys-2018-0030
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it. By an appropriate substitution, we convert this equation into two partial differential equations, which do not have integral terms and are equivalent to the original equation. We then work with the system of two equations and obtain its exact travelling wave solutions in form of Jacobi elliptic functions. Furthermore, we employ the multiplier method to construct conservation laws for the system. Finally, we revert the results obtained into the original variables of the (2+1) dimensional KdV-mKdV equation.

Journal

Open Physicsde Gruyter

Published: May 4, 2018

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