A study on an integrable system of coupled KdV equations

作者：Wazwaz Abdul Majid^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(10): 2846-2850.

DOI：10.1016/j.cnsns.2009.11.031

• KdV system
• Hirota bilinear method
• Multiple-soliton solutions
• Multiple singular soliton solutions
• Resonance

In this work, we study a system of coupled KdV equations. The Hirota's bilinear method is applied to show that this system is completely integrable. Multiple-soliton solutions and multiple singular soliton solutions are derived for this system. The resonance phenomenon is examined as well.

• 出版日期2010-10