A New Reduction of the Self-Dual Yang–Mills Equations and its Applications
2016 ◽
Vol 71
(7)
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pp. 631-638
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AbstractThrough imposing on space–time symmetries, a new reduction of the self-dual Yang–Mills equations is obtained for which a Lax pair is established. By a proper exponent transformation, we transform the Lax pair to get a new Lax pair whose compatibility condition gives rise to a set of partial differential equations (PDEs). We solve such PDEs by taking different Lax matrices; we develop a new modified Burgers equation, a generalised type of Kadomtsev–Petviasgvili equation, and the Davey–Stewartson equation, which also generalise some results given by Ablowitz, Chakravarty, Kent, and Newman.
1994 ◽
Vol 49
(1)
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pp. 151-158
Keyword(s):
2014 ◽
Vol 36
(1)
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pp. C1-C24
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2021 ◽
Vol 2090
(1)
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pp. 012031
2020 ◽
Vol 476
(2233)
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pp. 20190642
2004 ◽
Vol 14
(3)
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pp. 1506-1528
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Soliton solutions for the space-time nonlinear partial differential equations with fractional-orders
2017 ◽
Vol 55
(2)
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pp. 556-565
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