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Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation
Lax pair symmetries symmetry group exact solution
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2012/9/24
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
Soliton-like Solutions for Nonlinear Schroedinger Equation with variable quadratic Hamiltonians
Soliton-like Solutions Nonlinear Schroedinger Equation variable quadratic Hamiltonians
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2010/11/11
We construct soliton-like solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by using a complete integrability of generalized harmonic oscillator...