Integrable nonlocal nonlinear Schrödinger equation.

نویسندگان

  • Mark J Ablowitz
  • Ziad H Musslimani
چکیده

A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contrasted with the classical nonlinear Schrödinger equation.

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عنوان ژورنال:
  • Physical review letters

دوره 110 6  شماره 

صفحات  -

تاریخ انتشار 2013