Generalized Korteweg-de Vries equation

Generalized Korteweg-de Vries equation

In mathematics the generalized Korteweg-de Vries equation harvs
last=Tsutsumi|first= Masayoshi|last2= Mukasa|first2= Toshio|last3= Iino|first3= Riichi|year=1970
is the nonlinear partial differential equation

:partial_t u + partial_x^3 u + partial_x f(u) = 0.,The function "f"is sometimes taken to be "f"("u")= "u""k"+1/("k"+1) + "u" for some positive integer "k" (where the extra "u" is a "drift term" that makes the analysis a little easier). The case "f"("u") = 3"u"2 is the original
Korteweg–de Vries equation.

References

*citation|id=MR|0289973
last=Tsutsumi|first= Masayoshi|last2= Mukasa|first2= Toshio|last3= Iino|first3= Riichi
title=On the generalized Korteweg-de Vries equation.
journal=Proc. Japan Acad. |volume=46 |year=1970 |pages=921--925

External links

*dpde


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