New exact solutions for two nonlinear equations

作者：Wang Quandi^*; Tang Minying

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

• new exact solutions
• generalized form of Camassa-Holm equation
• generalized form of Degasperis-Procesi equation

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

• 出版日期2008-4-21
• 单位华南理工大学