【摘 要】
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The inelastic nature and the resulting energy exchange in collisions of intrinsic localized modes, or discrete breathers, has been an open problem for quite
【机 构】
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DepartmentofMathematics,UniversityofTexas-PanAmerican,Edinburg,TX78539-2999,USA
【出 处】
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International Conference Nonlinear Waves-Theory and Applicat
论文部分内容阅读
The inelastic nature and the resulting energy exchange in collisions of intrinsic localized modes, or discrete breathers, has been an open problem for quite a while.A detailed numerical investigation was conducted in Fermi-Pasta-Ulam lattice by Doi (see Phys.Rev.E 68 066608(2003)), which called for a theoretical explanation for the mechanism of energy exchange.In this talk, we first propose a regularized PDE model for discrete breathers in FPU lattice.Breather solutions are obtained via a variational approach, and their interactions are explored numerically.Then, based on the modified conservation law, a simplified ODE model is derived from the PDE model.The direct simulations for the ODE model achieve a good agreement with the numerical results in FPU lattice.Further, like the cases of coupled nonlinear Schrdinger (NLS) equation and phi-four equation, a possibility of fractal structures in breather-breather collisions is investigated.
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