Integrable Nonlocal Nonlinear Schrödinger Equation
Mark J. AblowitzDepartment of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USAZiad H. MusslimaniDepartment of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
2013en
ABI
Аннотация
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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