Initial Boundary-Value Problems for Soliton Equations
A method is presented for linearizing initial-boundary value problems for integrable nonlinear evolution equations with the spatial variable on an half-infinite line. This method yields the solution of a nonlinear equation in terms of the solution of two linear integral equations, whose analysis for large t, shows how the boundary conditions can generate solitons.
KeywordsJump Condition Soliton Equation Linear Integral Equation Nonlinear Integrodifferential Equation Stationary Phase Analysis
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