## Exact three-wave solution for higher dimensional KdV-type equation.(English)Zbl 1188.35169

Summary: A new periodic type of three-wave solutions including periodic two-solitary solution, doubly periodic solitary solution and breather type of two-solitary solution for the $$(1+2)$$-dimensional and $$(1+3)$$-dimensional KdV-type equations are obtained using Hirota’s bilinear form and generalized three-wave type of ansatz approach.

### MSC:

 35Q53 KdV equations (Korteweg-de Vries equations) 35C08 Soliton solutions 35B10 Periodic solutions to PDEs 35A24 Methods of ordinary differential equations applied to PDEs
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### References:

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