论文信息 - The evolution partial differential equation ut=uxxx+3(uxxu2 +3u2xu)+3uxu4

The evolution partial differential equation ut=uxxx+3(uxxu2 +3u2xu)+3uxu4

The evolution equation ut=uxxx+3(uxxu2 +3u2xu)+3uxu4, u=u(x,t), is integrable; it can be (exactly) linearized by an appropriate change of (dependent) variable. Hence several explicit solutions of the partial differential equation (PDE) can be exhibited; some of them display a remarkable solitronic phenomenology.

F. Calogero

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[3] O. Kaptsov. Classification of evolution equations by conservation laws , 1982 .