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Volumn 111, Issue 3, 2003, Pages 315-337

Linearizable Hierarchies of Evolution Equations in (1+1) Dimensions

Author keywords

[No Author keywords available]

Indexed keywords

C (PROGRAMMING LANGUAGE); DIFFERENTIAL EQUATIONS;

EID: 0141525335     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.t01-1-00236     Document Type: Article
Times cited : (20)

References (11)
  • 1
    • 0035620626 scopus 로고    scopus 로고
    • A tree of linearizable second-order evolution equations by generalized hodograph transformations
    • N. EULER and M. EULER, A tree of linearizable second-order evolution equations by generalized hodograph transformations, J. Nonlinear Math. Phys. 8:342-362 (2001) [free web access to this can be obtained at http://www.sm.luth.se/math/JNMP/].
    • (2001) J. Nonlinear Math. Phys. , vol.8 , pp. 342-362
    • Euler, N.1    Euler, M.2
  • 2
    • 0009920457 scopus 로고
    • Hodograph transformations of linearizable partial differential equations
    • P. A. CLARKSON, A. S. FOKAS, and M. J. ABLOWITZ, Hodograph transformations of linearizable partial differential equations, SIAM J. Appl. Math. 49:1188-1209 (1989).
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 1188-1209
    • Clarkson, P.A.1    Fokas, A.S.2    Ablowitz, M.J.3
  • 3
    • 36749108571 scopus 로고
    • Evolution equations possessing infinitely many symmetries
    • P. J. OLVER, Evolution equations possessing infinitely many symmetries, J. Math. Phys. 18:1212-1215 (1977).
    • (1977) J. Math. Phys. , vol.18 , pp. 1212-1215
    • Olver, P.J.1
  • 6
    • 0023542072 scopus 로고
    • Symmetries and Integrability
    • A. S. FOKAS, Symmetries and Integrability, Stud. Appl. Math. 77:253-299 (1987).
    • (1987) Stud. Appl. Math. , vol.77 , pp. 253-299
    • Fokas, A.S.1
  • 7
    • 36749119273 scopus 로고
    • A symmetry approach to exactly solvable evolution equations
    • A. S. FOKAS, A symmetry approach to exactly solvable evolution equations, J. Math. Phys. 21:1318-1325 (1980).
    • (1980) J. Math. Phys. , vol.21 , pp. 1318-1325
    • Fokas, A.S.1
  • 8
    • 0000338481 scopus 로고
    • Why are certain nonlinear PDEs both widely applicable and integrable?
    • V. E. Zakharov (Ed.), Springer Series in Nonlinear Dynamics, Berlin
    • F. CALOGERO, Why are certain nonlinear PDEs both widely applicable and integrable?, in What Is Integrability? V. E. Zakharov (Ed.), pp. 1-62, Springer Series in Nonlinear Dynamics, Berlin, 1991.
    • (1991) What Is Integrability? , pp. 1-62
    • Calogero, F.1
  • 9
    • 0022060655 scopus 로고
    • An exact transformation for the Harry Dym Equation to the modified KdV equation
    • S. KAWAMOTO, An exact transformation for the Harry Dym Equation to the modified KdV equation, J. Phys. Soc. Japan 54:2055-2056 (1985).
    • (1985) J. Phys. Soc. Japan , vol.54 , pp. 2055-2056
    • Kawamoto, S.1
  • 10
    • 21344479764 scopus 로고
    • On the equivalence of linearization and formal symmetries as integrability tests for evolution equations
    • A. H. BILGE, On the equivalence of linearization and formal symmetries as integrability tests for evolution equations, J. Phys. A: Math. Gen. 26:7511-7519 (1993).
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 7511-7519
    • Bilge, A.H.1
  • 11
    • 0041834582 scopus 로고    scopus 로고
    • Auto-hodograph transformations for a hierarchy of nonlinear evolution equations
    • N. EULER, M. L. GANDARIAS, M. EULER, and O. LINDBLOM, Auto-hodograph transformations for a hierarchy of nonlinear evolution equations, J. Math. Anal Appl. 257:21-28 (2001).
    • (2001) J. Math. Anal Appl. , vol.257 , pp. 21-28
    • Euler, N.1    Gandarias, M.L.2    Euler, M.3    Lindblom, O.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.