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Solutions Associated with Discrete and Continuous Spectrums in the Inverse Scattering Method for the Vakhnenko-Parkes Equation

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Publication:2907595
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DOI10.1143/PTP.127.593zbMath1253.81130MaRDI QIDQ2907595

Vyacheslav O. Vakhnenko, E. John Parkes

Publication date: 11 September 2012

Published in: Progress of Theoretical Physics (Search for Journal in Brave)



Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory, inverse scattering involving ordinary differential operators (34L25)


Related Items (4)

Lie group analysis, exact solutions and new conservation laws for combined KdV-mKdV equation ⋮ The inverse problem for some special spectral data ⋮ Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation ⋮ Integrability of the modified generalised Vakhnenko equation






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