Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications
2020 ◽
Vol 34
(32)
◽
pp. 2050314
Keyword(s):
Lax Pair
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A generalized [Formula: see text] matrix spectral problem is investigated to generate two five-component nonlinear integrable systems, which involve an arbitrary smooth function. These systems are proven integrable in the sense of Lax pair. As the reduction cases, a four-component reaction diffusion equation and a four-component modified Korteweg-de Vries (mKdV) equation are solved by Darboux transformation approach.
2019 ◽
Vol 10
(6)
◽
pp. 569-584
2016 ◽
Vol 444
(2)
◽
pp. 1479-1489
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Keyword(s):
2021 ◽
Vol 7
(2)
◽
2020 ◽
Vol 0
(0)
◽
Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
◽
pp. 123-135
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