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Two-Dimensional Solitary Wave Solution to the Quadratic Nonlinear Schrdinger Equation

Sarun Phibanchon

The solitary wave solution of the quadratic nonlinear Schrdinger equation is determined by the iterative method called Petviashvili method. This solution is also used for the initial condition for the time evolution to study the stability analysis. The spectral method is applied for the time evolution.

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