库普-库珀施密特方程维基百科,自由的 encyclopedia 库普-库珀施密特方程(Kaup-Kupershmidt Equation)是一个非线性偏微分方程:[1] ∂ 4 u ( x , t ) ∂ x 4 + ∂ u ( x , t ) ∂ x + 45 ( ∂ u ( x , t ) ∂ x ∗ u ( x , t ) 2 − ( 75 / 2 ) ∗ ∂ 2 u ( x , t ) ∂ x 2 ∗ ∂ u ( x , t ) ∂ x − 15 ∗ u ( x , t ) ∗ ∂ 3 u ( x , t ) ∂ x 3 {\displaystyle {\frac {\partial ^{4}u(x,t)}{\partial x^{4}}}+{\frac {\partial u(x,t)}{\partial x}}+45({\frac {\partial u(x,t)}{\partial x}}*u(x,t)^{2}-(75/2)*{\frac {\partial ^{2}u(x,t)}{\partial x^{2}}}*{\frac {\partial u(x,t)}{\partial x}}-15*u(x,t)*{\frac {\partial ^{3}u(x,t)}{\partial x^{3}}}}
库普-库珀施密特方程(Kaup-Kupershmidt Equation)是一个非线性偏微分方程:[1] ∂ 4 u ( x , t ) ∂ x 4 + ∂ u ( x , t ) ∂ x + 45 ( ∂ u ( x , t ) ∂ x ∗ u ( x , t ) 2 − ( 75 / 2 ) ∗ ∂ 2 u ( x , t ) ∂ x 2 ∗ ∂ u ( x , t ) ∂ x − 15 ∗ u ( x , t ) ∗ ∂ 3 u ( x , t ) ∂ x 3 {\displaystyle {\frac {\partial ^{4}u(x,t)}{\partial x^{4}}}+{\frac {\partial u(x,t)}{\partial x}}+45({\frac {\partial u(x,t)}{\partial x}}*u(x,t)^{2}-(75/2)*{\frac {\partial ^{2}u(x,t)}{\partial x^{2}}}*{\frac {\partial u(x,t)}{\partial x}}-15*u(x,t)*{\frac {\partial ^{3}u(x,t)}{\partial x^{3}}}}