The method of differential constraints and nonlinear inverse problems
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Themethod of differential constraints is applied to the study of some inverse problems for nonlinear one-dimensional differential equations of general type that include the classical equations of soliton theory. Under consideration is the problem of finding a potential for an equation of continuum mechanics in the one-dimensional case in the presence of some differential constraint.
Keywordsinverse problem nonlinear equation soliton presentations of solutions
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