Two-dimensional nonlinear string-type equations and their exact integration
β Scribed by A. N. Leznov; M. V. Saveliev
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 274 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
a b s t r a c t Two-dimensional orthogonal triangular functions (2D-TFs) are presented as a new set of basis functions for expanding 2D functions. Their properties are determined and an operational matrix for integration obtained. Furthermore, 2D-TFs are used to approximate solutions of nonlinear tw
In this paper, we study two types of genuinely nonlinear K(n, n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The
In the first paper of this series a correspondence was established between coupled systems of two-dimensional nonlinear wave equations and the six-dimensional simply transitive Lie algebras. In the present paper we make use of this result to construct a Darboux integrable and exactly integrable non