## Exact solutions of some fifth-order nonlinear equations.(English)Zbl 0954.35143

Summary: To solve the nonlinear partial differential equations is changed into solving some algebraic equations by using the function $$U$$ to be expressed as linear independent functions. The new soliton and periodic solutions of some fifth-order nonlinear partial differential equations $U_t+\alpha U^2U_x-\beta U_x U_{xx}-\gamma UU_{xxx}+ sU_{xxxxx}= 0$ are obtained.

### MSC:

 35Q53 KdV equations (Korteweg-de Vries equations) 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems 35C05 Solutions to PDEs in closed form

### Keywords:

soliton; periodic solutions
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### References:

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