Do nonsingular globally bounded positon solutions exist?
The positon solutions discovered so far for several nonlinear evolution equations are singular solutions. We show that for a discrete version of the well-known sinh-Gordon equation nonsingular positon solutions do exist. Under appropriate restrictions on the parameters of the construction they are globally bounded. In the continuum limit the corresponding (singular) solutions of the sinh-Gordon equation are recovered. Bibliography: 11 titles.
KeywordsEvolution Equation Continuum Limit Nonlinear Evolution Discrete Version Singular Solution
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