gch 中文意思是什麼
gch
解釋
簡體中文精簡版-
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
本文研究廣義camassa - holm （ gch ）方程的行波孤立子解及尖峰孤立子解，給出gch方程的行波孤立子解的表達式，特別的，對m = 1 、 m = 2 、 m = 3時利用mathematica數學軟體進行計算，解出了gch方程的尖峰孤立子解，並給出了此時gch方程的尖峰孤立子解的圖形，使數值分析和理論相結合；對m = 3時的gch方程增加一耗散項u _ （ xx ）后得到廣義耗散camassa - holm方程，並解出此方程的兩類精確行波解；本文將齊次平衡法應用到gch方程中，解出m = 2 、 m = 3時的gch方程的一組光滑解，同時應用此方法得到了m = 3時的gch方程的backlund變換。
分享友人