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Canonical reduction of self-dual Yang-Mills theory to Burgers, sine-Gordon, generalized KdV, Liouville's equations and exact solutions
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| Abstract |
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| The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to Burgers' type, two-dimensional sine-Gordon, generalized Korteweg-de Vries-type, (2+1.)- and the original (3+1)-dimensional Liouville equations are considered. On the one hand, the Backlund transformations are implemented to obtain several classes of exact solutions for the reduced Burgers-type and two-dimensional sine-Gordon equations. On the other hand, other methods and transformations are developed to obtain exact solutions for the original two-dimensional generalized Korteweg-de Vries-type, (2+1)- and the original (3+1)-dimensional Lionville equations. The corresponding gauge potential A(mu v) and the gauge field strengths F-mu v are also obtained. | | |
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English
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Il Nuovo cimento della società italiana di fisica : B: General physics, relativity, astronomy and mathematical physics and methods. - -, 1985 - 2008 | |
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RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | |
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2005
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1594-9982 [print]
1826-9877 [online]
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120:2(2005), p. 147-163
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000231781000003
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