Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
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| Creator |
Tychynin, V.
Petrova, O. Tertyshnyk, O. |
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| Description |
We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and on nonlocal symmetries of linear equations. Found nonlocal symmetries and formulae of nonlocal nonlinear superposition of solutions of these equations were used then for construction of chains of exact solutions. Linearization by means of the Legendre transformations of a second-order PDE with three independent variables allowed to obtain nonlocal superposition formulae for solutions of this equation, and to generate new solutions from group invariant solutions of a linear equation.
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| Date |
2019-02-16T08:11:35Z
2019-02-16T08:11:35Z 2007 |
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| Type |
Article
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| Identifier |
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations / V. Tychynin, O. Petrova, O. Tertyshnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 40 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35A30; 35K55; 35K57; 35L70 http://dspace.nbuv.gov.ua/handle/123456789/147789 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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