Relations connecting the scale transformation and Backlund transformation for the cylindrical Korteweg-de Vries equation
Huang Xun-Cheng; Huang Xun-Cheng; Shanghai Inst. of Computing Technique, Shanghai, China
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1982-07-01
Аннотация:
Relations B<sub>a</sub>=S<sup>-1</sup>(a)BS(a) and B<sub>a</sub><sup>-1</sup>=S(-1)B<sub>a</sub>S(-1), connecting the scale transformation (ST) and the Backlund transformation (BT) for the cylindrical Korteweg-de-Vries equation, u<sub>t</sub>+6uu<sub>x</sub>+u<sub>x</sub><sub>x</sub><sub>x</sub>+u/2t=0, are obtained. One analogous relation between the BT and translation in x is also considered.
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