论文标题

非线性klein-gordon模型中的延长立方Quintic非线性schrödinger方程的哈密顿形式

Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model

论文作者

Sedletsky, Yu. V., Gandzha, I. S.

论文摘要

我们在非线性klein-gordon模型中带有哈密顿结构的延长立方Quintic非线性schrödinger方程,具有立方骨折的非线性。我们使用非线性分散关系来正确考虑到非线性调制方法中高级非线性效应的输入。我们证明,改变立方体和五分之性非线性之间的平衡对未调制波数据包对长波调制的稳定性有显着影响。

We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high-order nonlinear effects in the Hamiltonian perturbation approach to nonlinear modulation. We demonstrate that changing the balance between the cubic and quintic nonlinearities has a significant effect on the stability of unmodulated wave packets to long-wave modulations.

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