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论文摘要

Konopelchenko Dubrovsky方程非行波孤子

Interaction solutions of non traveling wave soliton for (2+1) D Konopelchenko Dubrovsky equation

作者:康晓蓉(西南科技大学理学院);鲜大权(西南科技大学理学院)

Author:KANG Xiao-Rong(School of Sciences, Southwest University of Science and Technology);XIAN Da-Quan(School of Sciences, Southwest University of Science and Technology)

收稿日期:2015-05-08          年卷(期)页码:2015,52(4):710-714

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:(2+1)维Konopelchenko Dubrovsky方程;Lie对称;广义同宿测试法;非行波孤子

Key words:(2+1) D Konopelchenko Dubrovsky equation;Lie symmetry; Extended homoclinic test method;Non traveling wave soliton

基金项目:国家自然科学基金(11202175);国家自然科学基金青年基金(12zg2103);四川省教育厅重点项目(12zd1115)

中文摘要

本文通过退耦变换将(2+1)维Konopelchenko Dubrovsky方程化成单一方程,利用Lie群理论将所得单一方程约化成(1+1)维非线性偏微分方程,应用广义同宿测试方法求解该约化的(1+1)维方程,得到了(2+1)维KD方程新的非行波孤子相互作用解,并分析了它们的局部结构.

英文摘要

n this paper, the (2+1) D Konopelchenko Dubrovsky equation is converted to single equation by function translation. Based on combining Lie symmetry method, the single equation is reduced to the (1+1) D partial differential equation. Then by the extended homoclinic test approach, the new interaction solutions of non traveling wave solitons for the (2+1) D Konopelchenko Dubrovsky equation are obtained, and the localized structures are given.

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