A new exact solution and corresponding localized excitations of the (2+1)-dimensional mKdV equation

作者：Zhang Rong; Shen Shoufeng^*

来源：Physics Letters A, 2007, 370(5-6): 471-476.

DOI：10.1016/j.physleta.2007.06.004

• mKdV equation
• Painleve property
• exact solution
• localized excitation

In this Letter, we show that the new (2 + 1)-dimensional mKdV equation possesses Painleve property. Then, starting from the standard truncated Laurent expansion and the direct variable separation approach, a new exact solution with two lower dimensional arbitrary functions is obtained. Some high-dimensional localized excitations of the physical quantity u are constructed. These localized excitations have abundant structures at x-axis and y-axis such as dromions, peakons, loop-solitons, compactons which depend on corresponding functions.

• 出版日期2007-10-29
• 单位浙江工业大学