On the conservation laws and invariant solutions of the mKdV equation
Date
2010-03-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press - Elsevier Science
Abstract
In this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws for the mKdV equation are presented. It is observed that only nonlocal conservation theorem method lead to the nontrivial and infinite conservation laws. In addition, invariant solution is obtained by utilizing the relationship between conservation laws and Lie-point symmetries of the equation.
Description
Keywords
Conservation laws, Symmetries, Partial-differential-equations, Water, Mathematics
Citation
Yaşar, E. (2010). "On the conservation laws and invariant solutions of the mKdV equation". Journal of Mathematical Analysis and Applications, 363(1), 174-181.