Abstract

Yang-Mills equations are nonlinear, and therefore there is no hope of finding exact solutions to them. Such a statement seems quite convincing. Every student who has taken a course in differential equations will remember that only for linear differential equations with constant coefficients is there a general solution. This assertion is of course true, but, as often occurs in life, exceptions to the rule are sometimes more interesting than the rule itself, Dispersion wave equations have turned out to be such an exception.KeywordsSolitary WaveIntegrable SystemSoliton SolutionLinear Differential EquationSchrodinger EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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