Lax Pair
المؤلف:
Infeld, E. and Rowlands, G.
المصدر:
"Integrable Equations in Two Space Dimensions as Treated by the Zakharov-Shabat Method." §7.10 in Nonlinear Waves, Solitons, and Chaos, 2nd ed. Cambridge, England: Cambridge University Press
الجزء والصفحة:
pp. 192-199
21-7-2018
1240
Lax Pair
A pair of linear operators 
and 
associated with a given partial differential equation which can be used to solve the equation. However, it turns out to be very difficult to find the 
and 
corresponding to a given equation, so it is actually simpler to postulate a given 
and 
and determine to which partial differential equation they correspond (Infeld and Rowlands 2000).
REFERENCES:
Infeld, E. and Rowlands, G. "Integrable Equations in Two Space Dimensions as Treated by the Zakharov-Shabat Method." §7.10 in Nonlinear Waves, Solitons, and Chaos, 2nd ed. Cambridge, England: Cambridge University Press, pp. 192-199, 2000.
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