Hidden symmetries and exact solutions of integro-differential Jaulent–Miodek evolution equation

作者:

Highlights:

• Use of the adjoint method, to obtain optimal Lie vectors.

• A reduction of the JM equation to ordinary differential equations and detection of Lie symmetries.

• Test if these symmetries are hidden.

• Analysis and plot of results.

• Comparison with previous work in the field.

摘要

•Use of the adjoint method, to obtain optimal Lie vectors.•A reduction of the JM equation to ordinary differential equations and detection of Lie symmetries.•Test if these symmetries are hidden.•Analysis and plot of results.•Comparison with previous work in the field.

论文关键词:Adjoint Lie algebra,Hidden Lie vectors,Non linear evolution equations

论文评审过程:Available online 10 October 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.09.025