Recursion Operators for a Class of Integrable Third-Order Evolution Equations

Studies in Applied Mathematics

Volumn 112, Issue 2, 2004, Pages 201-225

  Petersson, Niclas ^a   Euler, Norbert ^a   Euler, Marianna ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONAL FORMS; HODOGRAPH TRANSFORMATIONS; INFINITE NUMBERS; LOCAL SYMMETRY; RECURSION OPERATORS; THIRD-ORDER EVOLUTION EQUATIONS;

EID: 1342284826     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0022-2526.2004.01511.x     Document Type: Article

References (12)

1. A. S. FOKAS, A symmetry approach to exactly solvable evolution equations, J. Math. Phys. 21:1318-1325 (1980).
2. A S. FOKAS, Symmetries and integrability, Stud. Appl. Math. 77:253-299 (1987).
3. N. EULER and M. A. EULER, Tree of linearizable second-order evolution equations by generalized hodograph transformations, J. Nonlinear Math. Phys. 8:342-362 (2001).
4. M. EULER, N. EULER, and N. PETERSSON, Linearizable hierarchies of evolution equations in (1+1) dimensions, Stud. Appl. Math. 111:315-337 (2003).
5. S. KAWAMOTO, An exact transformation for the Harry-Dym equation to the modified KdV equation, J. Phys. Soc. Japan 54:2055-2056 (1985).
6. I. DORFMAN, Dirac structures and integrability of nonlinear evolution equations, John Wiley & Sons, Chichester, 1993.
7. J. P. WANG, A list of 1+1 dimensional integrable equations and their properties, J. Nonlinear Math. Phys. 9(Suppl. 1):213-233 (2002).
8. J. A. CAVALCANTE and K. TENENBLAT, Conservation laws for nonlinear evolution equations, J. Math. Phys. 29:1044-1049 (1988).
9. F. CALOGERO and A. DEGASPERIS, Reduction technique for matrix nonlinear evolution equations solvable by the Spectral transform, J Math. Phys. 22:23-31 (1981).
10. N. I. IBRAGIMOV and A. B. SHABAT, Infinite Lie-Bäcklund algebras, Funct. Anal. Appl. 14:313-315 (1981).
11. 4, J. Math. Phys. 28:538-555 (1987).
12. V. V. SOKOLOV and A. B. SHABAT, Classification of integrable evolution equations, Math. Phys. Rev. 4:221-280 (1984).