Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations
详细信息 查看全文
- 作者：Maria Luz Gandariasa ; marialuz.gandarias@uca.es" class="auth_mail" title="E-mail the corresponding author ; Chaudry Masood Khalique ; b ; Masood.Khalique@nwu.ac.za" class="auth_mail" title="E-mail the corresponding author ; masoodkhalique@gmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Damped externally excited Korteweg-de Vries equation ; Nonlinear self-adjointness ; Conservation laws ; Lie symmetries ; Exact solutions
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：32
- 期：Complete
- 页码：114-121
- 全文大小：329 K
文摘
- •
We study a damped externally excited Korteweg-de Vries equation with a forcing term.
- •
We derive the classical Lie symmetries admitted by the equation.
- •
Conservation laws are established from the property of nonlinear self-adjointness.
- •
Some exact solutions are also obtained.