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The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
A. S. Fokas, M. J. Ablowitz
Source abstract
The initial value problem associated with the Benjamin‐Ono equation is linearized by a suitable extension of the inverse scattering transform. Essential is the formulation and solution of an associated nonlocal Riemann‐Hilbert problem in terms of initial scattering data. Solitons are given a definitive spectral characterization. Pure soliton solutions are obtained by solving a linear algebraic system whose coefficients depend linearly on [INLINEEQUATION], [INLINEEQUATION].
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