“School of Physic”
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| Paper IPM / Physic / 7889 |
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As an example of using the notion of normalized classes to investigate symmetry properties of differential equations, we completely solve the group classification problem in the class of (1+1)-dimentional nonlinear Schr?dinger equations iψt+ψxx+ | ψ | γψ+ V(t,x)ψ = 0, where γ is a real non-zero constant and V is an arbitrary complex-valued potential depending on t and x.
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