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On exact solutions of the nonlinear heat equation
A method for construction of exact solutions to the nonlinear heat equation ut = (F (u)ux)x + G (u)ux + H (u), which is based on the ansatz p(x) = ω₁(t) φ(u) + ω₂(t), is proposed. The function p(x) is a solution of the equation (p′)² = Ap² + B, and the functions ω₁(t), ω₂(t) and ϕ(u) can be found...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Видавничий дім "Академперіодика" НАН України
2019
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| Series: | Доповіді НАН України |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/158102 |
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