Finally we give first integrals for the reduced systems.
📌 3 Key Takeaways
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Objective & Hypothesis:The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation.
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Key Findings & Data:We further discuss the integrability of the derived separable amplitude equations and reduce them into finite dimensional Hamiltonian systems.
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Conclusion & Impact:Finally we give first integrals for the reduced systems.
The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation. We further discuss the integrability of the derived separable amplitude equations and reduce them into finite dimensional Hamiltonian systems. Finally we give first integrals for the reduced systems.
Özet
The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation. We further discuss the integrability of the derived separable amplitude equations and reduce them into finite dimensional Hamiltonian systems. Finally we give first integrals for the reduced systems.