INTEGRABLE SYSTEMS DETERMINED BY DIFFERENTIAL FORMS FOR MOVING FRAMES ON IMMERSED SUBMANIFOLDS
2008 ◽
Vol 05
(07)
◽
pp. 1041-1049
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Keyword(s):
Lax Pair
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It is shown how a system of differential forms can reproduce the complete set of differential equations generated by an SO(m) matrix Lax pair. By selecting the elements in the given matrices appropriately, examples of integrable nonlinear equations can be produced. The SO(3) case is discussed in detail, then extended to an m - 1 dimensional manifold immersed in Euclidean space.
2010 ◽
Vol 374
(4)
◽
pp. 501-503
◽
2010 ◽
Vol 60
(4)
◽
pp. 562-569
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Keyword(s):
2020 ◽
Vol 0
(0)
◽
1979 ◽
Vol 20
(12)
◽
pp. 2416-2422
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