Approximating pseudopotentials for evolution equations containing a~small parameter
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 355-362
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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.
@article{TMF_1992_91_3_a0,
author = {A. A. Alekseev and N. A. Kudryashov},
title = {Approximating pseudopotentials for evolution equations containing a~small parameter},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {355--362},
publisher = {mathdoc},
volume = {91},
number = {3},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a0/}
}
TY - JOUR AU - A. A. Alekseev AU - N. A. Kudryashov TI - Approximating pseudopotentials for evolution equations containing a~small parameter JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 355 EP - 362 VL - 91 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a0/ LA - ru ID - TMF_1992_91_3_a0 ER -
%0 Journal Article %A A. A. Alekseev %A N. A. Kudryashov %T Approximating pseudopotentials for evolution equations containing a~small parameter %J Teoretičeskaâ i matematičeskaâ fizika %D 1992 %P 355-362 %V 91 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a0/ %G ru %F TMF_1992_91_3_a0
A. A. Alekseev; N. A. Kudryashov. Approximating pseudopotentials for evolution equations containing a~small parameter. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 355-362. http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a0/