The Yang-Mills equations are nonlinear, and therefore there is little hope of finding closed-form solutions. Such a statement seems quite plausible. Every student who has taken a course in differential equations will remember that the only differential equations for which a general solution is given in closed form are linear differential equations with constant coefficients. As often occurs in life, however, exceptions to the rule are sometimes are more interesting than the rules themselves. The wave equations for scattering have turned out to be an exception.
KeywordsRiemann Surface Solitary Wave Soliton Solution Constant Negative Curvature SchrOdinger Operator
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- 1.The replacement of Klein but not Gordon by “sine” seems to be for the sake of euphony and is not discriminatory.Google Scholar