Journal
PHYSICAL REVIEW LETTERS
Volume 110, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.064105
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Funding
- NSF [DMS-0905779, DMS-0908599]
- U.S. Air Force Office of Scientific Research [FA9550-12-0207]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0908599] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- 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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