New exotic solitary waves in one type of nonlinear dispersive equations

作者：Yin Jiu Li^*; Tian Li Xin

来源：Acta Physica Sinica, 2009, 58(6): 3632-3636.

• nonlinear dispersive equation
• integrability
• exotic solitary wave

New exotic solitary wave and the painleve integrability of one type of the nonlinear dispersive generalized DGH equation are studied. By Painleve analysis, we discover that. the nonlinear dispersive generalized DGH equation with m, = 2 is integrable, which is a new integrable equation. By the new variable transformation and the auto-Backlund transformation, we obtain abundant exotic solitary wave solutions, such as compactons, peakons, new double solitary waves with peak points, and double solitary waves with blow-up points.

• 出版日期2009-6
• 单位江苏大学