Abstract
The initial value problem is considered for a higher order nonlinear Schrödinger equation with quadratic nonlinearity. Results on existence and uniqueness of weak solutions are obtained. In the case of an effective at infinity additional damping large-time decay of solutions without any smallness assumptions is also established. The main difficulty of the study is the non-smooth character of the nonlinearity.
Citation
Andrei V. Faminskii. "The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis." Adv. Differential Equations 28 (5/6) 413 - 466, May/June 2023. https://doi.org/10.57262/ade028-0506-413
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