Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations

作者：Xin, Xiangpeng^*; Liu, Yutang; Liu, Xiqiang

来源：Applied Mathematics Letters, 2016, 55: 63-71.

DOI：10.1016/j.aml.2015.11.009

• Nonlocal symmetry
• Exact solution
• Nonlocal conservation laws

Using the Lax pair, nonlocal symmetries of the coupled Hirota equations are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are successfully localized to Lie point symmetries. With the help of Lie symmetries of the closed prolongation, exact solutions and nonlocal conservation laws of the coupled Hirota equations are studied.

• 出版日期2016-5
• 单位聊城大学