Modified method of simplest equation for obtaining exact solutions of nonlinear partial differential equations: past and present
Abstract
We present a short review of the evolution of the methodology of the Method of simplest equation for obtaining exact particular solutions of nonlinear partial differential equations (NPDEs) and the recent extension of a version of this methodology called Modified method of simplest equation. This extension makes the methodology capable to lead to solutions of nonlinear partial differential equations that are more complicated than a single solitary wave.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2019
- DOI:
- 10.48550/arXiv.1906.08053
- arXiv:
- arXiv:1906.08053
- Bibcode:
- 2019arXiv190608053V
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 18 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1904.03481