一类非线性方程的compacton解及其移动compacton解  

Compacton solutions and floating compacton solutions of one type of nonlinear equations

作　　者：殷久利[1] 田立新[1] 

机构地区：[1]江苏大学非线性科学研究中心,镇江212013

出　　处：《物理学报》2004年第9期2821-2827,共7页Acta Physica Sinica

基　　金：国家自然科学基金 (批准号 :10 0 710 3 3 ) ;江苏省自然科学基金 (批准号 :BK2 0 0 2 0 0 3 )资助的课题~~

摘　　要：研究一类非线性方程 ,即广义Camassa_Holm方程C(n) :ut+kux +β1 uxxt +β2 un+ 1 x +β3ux unxx +β4 uunxxx =0 .通过四种拟设得到丰富的精确解 ,特别是当k≠ 0时得到了compacton解 ,当k =0时得到了移动compacton解 .Study one type of nonlinear equations,namely generalized Camassa_Holm equation C(n) :u\-t+ku\-x+β\-1u xxt +β\-2(u n+1 ) x+β\-3u\-x(u\+n) xx +β\-4u(u\+n) xxx =0.Obtain abundant exact solutions by four ansasz,particularly when k ≠0,we obtain compacton solutions;while when k=0 ,we obtain floating compacton solutions.At last,we also study other forms of fully nonlinear generalized Camassa_Holm equation,and their compacton solutions are governed by nonlinear equations.

关 键 词：广义CAMASSA-HOLM方程 COMPACTON解 移动compacton解 孤波解 孤子理论 数学物理方法 

分 类 号：O411.1[理学—理论物理]