Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation
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- 作者：Weipeng Hua ; b ; c ; wphu@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Zichen Denga ; b ; Tingting Yina
- 关键词：Damping nonlinear Schrö ; dinger equation ; Generalized multi-symplectic ; Breakup of multisoliton state ; Structure-preserving ; Periodic perturbation
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：42
- 期：Complete
- 页码：298-312
- 全文大小：2274 K
文摘
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The local energy/momentum losses are deduced theoretically in Hamiltonian framework and this result is verified by the structure-preserving approach.
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The breakup process of the multisoliton state is simulated and the bifurcation of the discrete eigenvalues of associated Zakharov–Shabat spectral problem are obtained.