A METHOD FOR THE ANALITICAL SOLUTIONS OF NONLINEAR EQUATIONS WITH PARTIAL DERIVATIVES AND THE ALGORITM FOR SOLVING THE THIRD-ORDER SPECIAL EQUATION
The article considers the problem of the exact analytical solutions finding nonlinear equations of mathematical physics to simulate dynamic systems and nonlinear physical processes. The algorithm of the generalized Fourier method of variables separation for building solutions of nonlinear equations...
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| Main Author: | |
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| Format: | Article |
| Language: | Russian |
| Published: |
National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2017-12-01
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| Series: | Informatika |
| Online Access: | https://inf.grid.by/jour/article/view/237 |
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| Summary: | The article considers the problem of the exact analytical solutions finding nonlinear equations of mathematical physics to simulate dynamic systems and nonlinear physical processes. The algorithm of the generalized Fourier method of variables separation for building solutions of nonlinear equations is offered. These equations include linear parts and nonlinear quadratic differential forms consisting of the sum of products of function powers and derivatives. The offered algorithm generates a series of new solutions of third-order partial differential model equations with quadratic nonlinearity. |
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| ISSN: | 1816-0301 |