On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations
2009 ◽
Vol 465
(2108)
◽
pp. 2369-2389
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Keyword(s):
Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe a simple and straightforward method to derive linearizing transformations for a class of two coupled SNODEs. Our procedure gives several new types of linearizing transformations of both invertible and non-invertible kinds. In both cases, we provide algorithms to derive the general solution of the given SNODE. We illustrate the theory with potentially important examples.
2005 ◽
Vol 461
(2060)
◽
pp. 2451-2477
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2008 ◽
Vol 465
(2102)
◽
pp. 609-629
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2006 ◽
Vol 462
(2070)
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pp. 1831-1852
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2008 ◽
Vol 464
(2100)
◽
pp. 3377-3377
1988 ◽
Vol 8
(3)
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pp. 239-248
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2005 ◽
Vol 39
(3)
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pp. L69-L76
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1999 ◽
Vol 240
(1)
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pp. 105-114
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1990 ◽
Vol 49
(1)
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pp. 43-54
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2014 ◽
Vol 93
(2)
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