伊藤方程(Ito equation)是一個五階非線性偏微分方程:[1]
![{\displaystyle u(x,t)=_{C}2*sech(_{C}1+_{C}2*x-_{C}2^{5}*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/26eec595df89ca066a9c92403cac74be5d542fe4)
![{\displaystyle u(x,t)=_{C}3*JacobiDN(-_{C}2-_{C}3*x-(-6*_{C}3^{5}-_{C}3^{5}*_{C}1^{4}+6*_{C}3^{5}*_{C}1^{2})*t,_{C}1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8326c1cacd8aef3e83625e0f5bdf26fdab9254d7)
![{\displaystyle u(x,t)={\sqrt {(}}2)*_{C}3*JacobiCN(_{C}2+_{C}3*x-7*_{C}3^{5}*t,(1/2)*sqrt(2))}](https://wikimedia.org/api/rest_v1/media/math/render/svg/743fa4f3f19134fce62166d1947f7685b61ec2c6)
![{\displaystyle u(x,t)=-I*_{C}2*cot(_{C}1+_{C}2*x-6*_{C}2^{5}*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ac726358bde1eea13e1c24dd607b57c38625e39d)
![{\displaystyle u(x,t)=-I*_{C}2*tan(_{C}1+_{C}2*x-6*_{C}2^{5}*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d527831a7ca3c0ef9d9ad8a1636e1913fc31534e)
![{\displaystyle u(x,t)=-I*_{C}3*JacobiNS(-_{C}2-_{C}3*x-(-_{C}3^{5}*_{C}1^{4}-_{C}3^{5}-4*_{C}3^{5}*_{C}1^{2})*t,_{C}1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3a895fe670c074dc05f573ecc2d8122c09c1beef)
![{\displaystyle u(x,t)=I*_{C}2*csc(_{C}1+_{C}2*x-_{C}2^{5}*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ab8a5a4177ea79ccdff5f3a20f4123a4bf1a32cf)
![{\displaystyle u(x,t)=(2*I)*_{C}3*JacobiND(_{C}2+_{C}3*x-28*_{C}3^{5}*t,sqrt(2))}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f9eb42c1add82eec761a47e702c36468441c5cda)
![{\displaystyle u(x,t)=-I*sqrt(2)*_{C}3*JacobiNC(_{C}2+_{C}3*x-7*_{C}3^{5}*t,(1/2)*sqrt(2))}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a1af6d2238d7e540484395afc5668c12100cee81)
![{\displaystyle u(x,t)=-2*_{C}3*JacobiSN(_{C}2+_{C}3*x-28*_{C}3^{5}*t,I)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/79cfc7de7ba46054f5190ce4592b86ce589b7f43)
![{\displaystyle u(x,t)=-{\sqrt {(}}1-_{C}1^{2})*_{C}3*JacobiND(-_{C}2-_{C}3*x-(-6*_{C}3^{5}-_{C}3^{5}*_{C}1^{4}+6*_{C}3^{5}*_{C}1^{2})*t,_{C}1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/31274e639b515d6defd0090fed341186db10b7a0)
Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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Ito equation traveling wave plot
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