泽田-小寺方程(Sawada-Kotera equation)是一个非线性偏微分方程：

U_{t}+45(U)^2U_{x}+15U_{x}U_{xx}+15UU_{xxx}+U_{xxxxx}=0

解析解
:u(x, t) = -(8/3)_C2^2-4_C2^2cot(_C1+_C2x-16_C2^5t)^2
:u(x, t) = -(8/3)_C2^2-4_C2^2tan(_C1+_C2x-16_C2^5t)^2
:u(x, t) = -(4/3)_C2^2-4_C2^2csch(_C1+_C2x-16_C2^5t)^2
:u(x, t) = -(4/3)_C2^2+4_C2^2sech(_C1+_C2x-16_C2^5t)^2
:u(x, t) = (4/3)_C2^2-4_C2^2csc(_C1+_C2x-16_C2^5t)^2
:u(x, t) = (4/3)_C2^2-4_C2^2sec(_C1+_C2x-16_C2^5t)^2
:u(x, t) = (8/3)_C2^2-4_C2^2coth(_C1+_C2x-16_C2^5t)^2
:u(x, t) = (8/3)_C2^2-4_C2^2tanh(_C1+_C2x-16_C2^5t)^2
:u(x, t) = -(8/3)_C3^2+(4/3)_C3^2_C1^2+4_C3^2JacobiDN(-_C2-_C3x-(-16_C3^5+16_C3^5_C1^2-16_C3^5_C1^4)t, _C1)^2
:u(x, t) = -(8/3)_C3^2_C1^2+(4/3)_C3^2+(-4_C3^2+4_C3^2_C1^2)JacobiNC(-_C2-_C3x-(-16_C3^5+16_C3^5_C1^2-16_C3^5_C1^4)t, _C1)^2
:u(x, t) = (4/3)_C3^2_C1^2+(4/3)_C3^2-4_C3^2_C1^2JacobiSN(-_C2-_C3x-(-16_C3^5+16_C3^5_C1^2-16_C3^5_C1^4)*t, _C1)^2
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行波图
参考文献

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李志斌编著 《非线性数学物理方程的行波解》 科学出版社

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