Tang Shimin
Abstract
Various progressive waves expressed by rational combination of Jacobian elliptic functions in general are found as solutions to the modified KdV equation. They reduce to cnoidal, dnoidal, snoidal, solitary waves or solitons and kinks in some special cases.
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Various progressive waves expressed by rational combination of Jacobian elliptic functions in general are found as solutions to the modified KdV equation. They reduce to cnoidal, dnoidal, snoidal, solitary waves or solitons and kinks in some special cases.
Key concepts: Korteweg–de Vries equation, Jacobian matrix and determinant, Elliptic function, Cnoidal wave, Physics, Mathematical analysis, Mathematical physics, Mathematics