mKdV方程是一个非线性偏微分方程:[1]
![{\displaystyle u(x,t)={\sqrt {(}}6)*_{C}2*sech(_{C}1+_{C}2*x-_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/06bf82b3173cdad825b5090265b2e8f85a8d7acd)
![{\displaystyle u(x,t)={\sqrt {(}}6)*_{C}3*JacobiDN(_{C}2+_{C}3*x+(-2*_{C}3^{3}+_{C}3^{3}*_{C}1^{2})*t,_{C}1)}](//wikimedia.org/api/rest_v1/media/math/render/svg/778d44013defd246998732e66cf08feafb8d0359)
![{\displaystyle u(x,t)={\sqrt {(}}-6+6*_{C}1^{2})*_{C}3*JacobiNC(-_{C}2-_{C}3*x-(_{C}3^{3}-2*_{C}3^{3}*_{C}1^{2})*t,_{C}1)}](//wikimedia.org/api/rest_v1/media/math/render/svg/3fecfe0f418e81eb94f26fe868abc914b722d747)
![{\displaystyle u(x,t)={\sqrt {(}}6-6*_{C}1^{2})*_{C}3*JacobiND(_{C}2+_{C}3*x+(-2*_{C}3^{3}+_{C}3^{3}*_{C}1^{2})*t,_{C}1)}](//wikimedia.org/api/rest_v1/media/math/render/svg/6d4a4b5f1ced2c2be05b34395bb2cfbdd34cc833)
![{\displaystyle u(x,t)={\sqrt {(}}6)*_{C}1*_{C}3*JacobiCN(-_{C}2-_{C}3*x-(_{C}3^{3}-2*_{C}3^{3}*_{C}1^{2})*t,_{C}1)}](//wikimedia.org/api/rest_v1/media/math/render/svg/aa4768191de08b8452d352fc79e6a6bdd37b8cfe)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*cot(_{C}1+_{C}2*x-2*_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/87c89b589274d587d93656e7ec542f5f9e1c3f2b)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*coth(_{C}1+_{C}2*x+2*_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/ebfc79aa4491a2f29c7c0f03fc5418682dfe6016)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*csc(_{C}1+_{C}2*x+_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/06c135a2f9ffa5c271c0ee5bf076f3284bc60df5)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*tanh(_{C}1+_{C}2*x+2*_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/5407207745abff537ad73fcd7da7269f87176941)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*sec(_{C}1+_{C}2*x+_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/357d414d099f6167377b7636293ac235f171db13)
![{\displaystyle u(x,t)=-I*{\sqrt {(}}6)*_{C}2*csch(_{C}1+_{C}2*x-_{C}2^{3}*t)}](//wikimedia.org/api/rest_v1/media/math/render/svg/02ce2ba8712154c7296f2bd82c7ea9f8b3f9d96f)
![{\displaystyle }](//wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](//wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](//wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](//wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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mKdV equation traveling wave plot
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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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