New exact solutions for two nonlinear equations

作者：Wang Q^*; Tang M

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2008, 372(17): 2995-3000.

DOI：10.1016/j.physleta.2008.01.012

• Generalized form of Camassa-Holm equation
• Generalized form of Degasperis-Procesi equation
• New exact solutions

In this Letter, we investigate two nonlinear equations given by ut - ux x t 3 u2 ux = 2 ux ux x u ux x x and ut - ux x t 4 u2 ux = 3 ux ux x u ux x x. Through some special phase orbits we obtain four new exact solutions for each equation above. Some previous results are extended.

• 单位
  华南理工大学