Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions
А. Б. Хасанов, U. A. Hoitmetov
Abstract
In this paper, the evolution of the scattering data of the Sturm–Liouville operator is derived by the method of the inverse scattering problem, here the potential of operator is a solution to the general loaded Korteweg–de Vries equation in the class of rapidly decreasing complex-valued functions.
Topics & Concepts
MathematicsType (biology)Class (philosophy)Korteweg–de Vries equationMathematical analysisIntegral equationPure mathematicsNonlinear systemPhysicsGeologyComputer scienceArtificial intelligencePaleontologyQuantum mechanicsNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsNumerical methods for differential equations