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New exotic solitary waves in one type of nonlinear dispersive equations

Yin Jiu-Li Tian Li-Xin

New exotic solitary waves in one type of nonlinear dispersive equations

Yin Jiu-Li, Tian Li-Xin
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Publishing process
  • Received Date:  17 June 2008
  • Accepted Date:  31 October 2008
  • Published Online:  05 March 2009

New exotic solitary waves in one type of nonlinear dispersive equations

  • 1. 江苏大学非线性科学研究中心,镇江 212013

Abstract: New exotic solitary wave and the painlevé integrability of one type of the nonlinear dispersive generalized DGH equation are studied. By Painlevé 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.

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