Multiple-mode wave solutions in Vakhnenko equation

作者：Zhang Zhengdi; Bi Qinsheng^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2008, 372(18): 3243-3252.

DOI：10.1016/j.physleta.2008.01.059

• Vakhnenko equation
• multiple-mode wave
• nonlinear superposition
• interaction

A new type of wave solutions, called as multiple-mode waves, which can be expressed in the superposition forms of more than two types of single-mode waves of Vakhnenko equation have been investigated in this Letter. A new general method for obtaining the multiple-mode waves is proposed, based on which four cases of the possible forms of wave solutions with two-mode have been derived. The explicit expressions of the two-mode waves as well as the existence conditions have been presented, which may be the nonlinear combinations between periodic waves, solitons, compactons, etc., with different wave speeds, respectively. It is pointed out that more complicated multiple-mode waves with more than three single-mode waves can be derived accordingly, which can be used to reveal the evolution of interactions between different types of waves, especially between various solitons.

• 出版日期2008-4-28
• 单位江苏大学