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Periodic-soliton wave solutions for \((2+1)\)-dimensional hydrodynamic-type system. (Chinese. English summary) Zbl 1240.35407

Summary: By using a new technique, a \((2+1)\)-dimensional hydrodynamic-type system is solved. We obtain abundance of exact periodic-soliton wave solutions, double periodic soliton wave solutions, double periodic double soliton wave solutions. Obviously, the method can be applied to solve other types of nonlinear evolution equations as well.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B10 Periodic solutions to PDEs
35C08 Soliton solutions
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