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Canonical reduction of self-dual Yang-Mills equations to Fitzhugh-Nagumo equation and exact solutions
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| CHAOS SOLITONS & FRACTALS |
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The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional Fitzhugh-Nagumo and the real Newell-Whitehead equations are considered. On the other hand, other methods and transformations are developed to obtain exact solutions for the original two-dimensional Fitzhugh-Nagumo and Newell-Whitehead equations. The corresponding gauge potential A(mu) and the gauge field strengths F-mu nu are also obtained. New explicit and exact traveling wave and solitary solutions (for Fitzhugh-Nagumo and Newell-Whitehead equations) are obtained by using an improved sine-cosine method and the Wu's elimination method with the aid of Mathematica.
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Fitzhugh-Nagumo equation, Canonical reduction
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