自谐振孤子和衰变泵浦
Autoresonant soliton and decay pumping
摘要：
推导了在外力作用下频率缓变的偏导数主共振方程。当时间较长时，渐近解的首阶项被构造为振幅增长的孤子。由于外力幅值的衰减而得到该增长解。得到了耗散介质中解增长的一个必要条件。
英文摘要：
The primary resonance equation in partial derivatives with external force and slowly varying frequency is derived. The leading-order term of asymptotic solution is constructed as a soliton with growing amplitude when time is large. This growing solution is obtained due to the decaying amplitude of the external force. A necessary condition for the growth of the solution in dissipative media is obtained also.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
