A tree of linearisable second-order evolution equations by generalised hodograph transformations

Journal of Nonlinear Mathematical Physics

Volumn 8, Issue 3, 2001, Pages 342-362

  Euler, Norbert ^a   Euler, Marianna ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035620626     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.3.3     Document Type: Article

References (9)

1. Euler, N, Gandarias, M L, Euler, M, and Lindblom, O. 2001. Auto-Hodograph Transformations for a Hierarchy of Nonlinear Evolution Equations. J. Math. Anal. Appl., 257:21–28.
2. Clarkson, P A, Fokas, A S, and Ablowitz, M J. 1989. Hodograph Transformations of Linearizable Partial Differential Equations. SIAM J. Appl. Math., 49:1188–1209.
3. Calogero F, Why are Certain Nonlinear PDEs Both Widely Applicable and Integrable?, in What Is Integrability?, Zakharov V E (Editor), Springer Series in Nonlinear Dynamics, Berlin, 1–62, 1991
4. Sokolov, V V, Svinolupov, S I, and Wolf, T. 1992. On Linearizable Evolution Equations of Second Order. Phys. Lett, A163:415–418.
5. Zakharov, V E. 1991. What Is Integrability?, Springer Series in Nonlinear Dynamics Berlin
6. Fokas, A S. 1980. A Symmetry Approach to Exactly Solvable Evolution Equations. J. Math. Phys., 21:1318–1325.
7. Ibragimov, N H, and Shabat, A B. 1980. Evolutionary Equations with Nontrivial Lie-Bäcklund Group. Functional Anal. Appl., 14:19–28.
8. x occuring in two-phase flow in porous media. SIAM J. Appl. Math., 42:318–332.
9. Fushchich, W I, Shtelen, W M, and Serov, N I. 1993. Symmetry Analysis and Exact Solutions of the Equations of Mathematical Physics, Dordrecht:Kluwer.