广义耗散 meaning in English

generalized dissipation

In this paper , i consider the traveling wave solutions and peakons of the generalized camassa - holm ( gch ) equation and give the express of the solitons of this equation . the peakons and their figures of the gch equation are given with the mathematic software for m - 1 , m = 2 and m = 3 in particular ; for m = 3 , i get the generalized dissipative camassa - holm equations by adding a dissipative term and find two types exact traveling wave solutions of this equations . i also apply the homogeneous balance method into the gch equation so that i get a group of smooth solutions for m = 2 and m = 3 and the backlund transformation for m - 3 of the gch equation
本文研究广义camassa - holm ( gch )方程的行波孤立子解及尖峰孤立子解，给出gch方程的行波孤立子解的表达式，特别的，对m = 1 、 m = 2 、 m = 3时利用mathematica数学软件进行计算，解出了gch方程的尖峰孤立子解，并给出了此时gch方程的尖峰孤立子解的图形，使数值分析和理论相结合；对m = 3时的gch方程增加一耗散项u _ ( xx )后得到广义耗散camassa - holm方程，并解出此方程的两类精确行波解；本文将齐次平衡法应用到gch方程中，解出m = 2 、 m = 3时的gch方程的一组光滑解，同时应用此方法得到了m = 3时的gch方程的backlund变换。