Optical solitons with quadratic nonlinearity by Lie symmetry analysis
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2015, National Institute of Optoelectronics. All right reserved. This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.