扩展的映射法与非线性色散K(n,k)方程的新紧致子和孤波(英文)  

New Compactons and Solitary Waves of the Nonlinear Dispersion K(n,k)Equation from Extended Mapping Method

作　　者：杨建荣[1] 董添文[1] 何洁[1] 毛杰健[1] 

机构地区：[1]上饶师范学院,江西上饶334001

出　　处：《上饶师范学院学报》2013年第3期28-35,48,共9页Journal of Shangrao Normal University

基　　金：江西省自然科学基金课题(2009GZW0026);上饶师范学院博士科研启动基金项目(001033);上饶师范学院科技课题(0708)

摘　　要：利用扩展的映射法,得到了非线性色散K(n,k)方程几类新的紧致子、孤波和周期波解。当n=k>1,非线性色散K(n,k)方程存在紧致子解和周期波解;当n=k<1,存在孤波解。本文所得到的K(n,k)方程的紧致子解和周期波解,涵盖了用其它方法得到的所有解,如文献[20-23]。我们的结果进一步丰富了对非线性色散现象的认识。Using the extended mapping metlied, several new types of compact solutions, solitary wave solutions and periodic wave solutions of the nonlinear dispersion K（n, k） equation are derived. When n = k 〉 1, there are compact solutions and pe- riodic wave solutions; when n = k 〈 1, there are solitary wave solutions. The compact solutions and periodic wave solutions of the K（ n, k） equation obtained in this paper include all of the solutions obtained by other methods in Refs. [ 20 -23 ]. Our results extend the understanding for nonlinear dispersive phenomena.

关 键 词：非线性色散K(n k)方程 扩展的映射法 紧致子 孤波 

分 类 号：O411[理学—理论物理]