Renormalization group symmetry and initial value problem for shallow water equations

Chaos, Solitons and Fractals

Volumn 19, Issue 4, 2004, Pages 809-812

  Murata, Souichi ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FRACTALS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SOLITONS;

SHALLOW WATER EQUATIONS;

CHAOS THEORY;

EID: 0043124374     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00185-1     Document Type: Article

References (6)

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2. Kovalev V.F., Shirkov D.V. Functional self-similarity and renormalization group symmetry in mathematical physics. Theor. Math. Phys. 121:1999;1315-1332.
3. Shirkov D.V. Renormalization group in modern physics. Int. J. Mod. Phys. A. 3:1988;1321-1341.
4. Shirkov D.V., Kovalev V.F. The bogoliubov renormalization group and solution symmetry in mathematical physics. Phys. Rep. 352:2001;219-249.
5. Olver P.J. Application of Lie groups to differential equations. 1986;Springer-Verlag, New York.
6. Ibragimov N.H. CRC handbook of Lie group analysis of differential equations. vol. 2:1994;CRC Press, USA.