Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CH...Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peakon solution, N-soliton, N-cuspon, N-positon, and N-negaton solutions of CHESCS are obtained by using Darboux transformation and the method of variation of constants.展开更多
基金the National Natural Science Foundation Committee of China(Grant No.81271597)the Major Item of the Basic Research of Shanghai Science and Technology Committee(Grant No.10JC0642)
文摘论述了电声互易原理和用于平面活塞型与球面聚焦换能器校准的自易法（Self Reciprocity Method, SRM）。介绍了一系列的定义和发送电压（电流）响应与电压灵敏度。阐述了SRM与辐射力天平（Radiation Force Balance, RFB）法之间的关系。在1～25 MHz 频率范围内，对超声换能器校准和输出功率测量的实验显示，两种方法具有相近的准确度。SRM法比RFB法测量具有更高的信噪比和更好的稳定性。
基金Supported by the Nationai Basic Research Program of China (973 program) under Grant No. 2007CB814800the National Science Foundation of China under Grant Nos. 10801083 and 10901090
文摘Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peakon solution, N-soliton, N-cuspon, N-positon, and N-negaton solutions of CHESCS are obtained by using Darboux transformation and the method of variation of constants.
