4.8 Article

Integrable Nonlocal Nonlinear Schrodinger Equation

期刊

PHYSICAL REVIEW LETTERS
卷 110, 期 6, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.064105

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资金

  1. NSF [DMS-0905779, DMS-0908599]
  2. U.S. Air Force Office of Scientific Research [FA9550-12-0207]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [0908599] Funding Source: National Science Foundation
  5. Direct For Mathematical & Physical Scien
  6. Division Of Mathematical Sciences [0905779] Funding Source: National Science Foundation

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A new integrable nonlocal nonlinear Schrodinger 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 Schrodinger equation. DOI: 10.1103/PhysRevLett.110.064105

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