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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 3, Pages 355–362
(Mi tmf5583)
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Approximating pseudopotentials for evolution equations containing a small parameter
A. A. Alekseev, N. A. Kudryashov Moscow Engineering Physics Institute
Abstract:
For nonlinear partial dift rential equations that cannot be integrated by the inverse scattering method, an approach that makes it possible to construct Wahlquist–Estabrook approximating pseudopotentials is proposed. The method is used to find an approximate Lax pair and conservation laws of the Kawahara equation.
Received: 10.09.1991
Citation:
A. A. Alekseev, N. A. Kudryashov, “Approximating pseudopotentials for evolution equations containing a small parameter”, TMF, 91:3 (1992), 355–362; Theoret. and Math. Phys., 91:3 (1992), 575–580
Linking options:
https://www.mathnet.ru/eng/tmf5583 https://www.mathnet.ru/eng/tmf/v91/i3/p355
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Abstract page: | 324 | Full-text PDF : | 132 | References: | 63 | First page: | 1 |
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