SOME NEW INTEGRABLE NONLINEAR EVOLUTION EQUATIONS AND THEIR INFINITELY MANY CONSERVATION LAWS
2010 ◽
Vol 24
(19)
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pp. 2077-2090
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Keyword(s):
A hierarchy of new nonlinear evolution equations associated with a 3×3 matrix spectral problem with two potentials is derived and its Hamiltonian structures are established with the aid of trace identity. The negative flow of the hierarchy is then discussed. A reduction of this hierarchy and its Hamiltonian structures are constructed. An infinite sequence of conserved quantities of several new soliton equations is obtained.
2015 ◽
Vol 29
(21)
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pp. 1550116
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2009 ◽
Vol 26
(5)
◽
pp. 050201
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1996 ◽
Vol 37
(3)
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pp. 320-333
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2011 ◽
Vol 25
(18)
◽
pp. 2481-2492
2009 ◽
Vol 23
(27)
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pp. 3253-3264
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