Department of Mathematical Sciences
Loughborough University
Tel: +44 (0) 1509 22 2861
Fax: +44 (0) 1509 22 3969

oughborough University

 

 

 

Vladimir Novikov

List of publications:

 

1.     E.V. Ferapontov, A. Moro and V.S. Novikov, “Integrable equations in 2+1 dimensions: deformations of dispersionless limits”,  J. Phys. A: Math. Theor., 42,  342005 (18pp), 2009. Also in ArXiv nlin.SI/0903.3586.

2.     V.S. Novikov, “Generalisations of the Camassa-Holm equation”, J. Phys. A: Math. Theor., 42,  342002 (14pp), 2009. Also in ArXiv nlin.SI/0905.2219v1

3.     A.V. Mikhailov, V.S. Novikov, J.P. Wang, “Symbolic  representation and classification of integrable systems”, in Algebraic theory of differential equations, editors: M. MacCallum, A. Mikhailov, Cambridge University Press,  2009. Also in ArXiv nlin.SI/07012.1972

4.     A.N.W Hone, V.S. Novikov, C. Verhoven, “An extended Henon-Heiles system”, Physics Letters A, 372 (2008), pp. 1440-1444.

5.     V.S. Novikov, J. P. Wang, “Symmetry Structure of Integrable Nonevolutionary Equations”, Studies in Applied Mathematics, Vol. 119 Issue 4, pp. 393-428, 2007. Also in ArXiv nlin.SI/0702045.

6.     A.V. Mikhailov, V.S. Novikov, J.P. Wang, “On classification of integrable non-evolutionary equations", Studies in Applied Mathematics, Vol. 118,  pp. 419-457, 2007. Also in ArXiv nlin.SI/0601046.

7.     A.N.W. Hone, V.S. Novikov, C. Verhoeven, “An integrable hierarchy with a perturbed Henon-Heiles system", Inverse Problems, 22, pp. 2001-2020 , 2006. Also in ArXiv nlin.SI/0606040.

8.     A.V. Mikhailov, V.S. Novikov, J.P. Wang, “Partially integrable nonlinear equations with one higher symmetry", J. Phys A: Math. Gen.,  38, pp. L337-L341, 2005. Also in ArXiv nlin.SI/0601047.

9.     A.N.W. Hone, V.S. Novikov, “On a functional equation related to the intermediate long wave equation",  J. Phys. A: Math. Gen., 37, pp. L399-L406 , 2004.

10.   A.V. Mikhailov, V.S. Novikov, “Classification of integrable Benjamin-Ono type equations", Moscow Mathematical Journal, 3, 4, pp. 1293-1305, 2003.

11.   A.V. Mikhailov, V.S. Novikov, “Perturbative symmetry approach", J. Phys. A: Math. Gen., 35, 22, 2002. Also in ArXiv nlin.SI/0203055.

12.   V.S. Novikov, “Reflectionless potentials for the acoustic spectral problem",  JETP Letters, 72, 2, 2000.

13.   M.Yu. Kulikov, V.S. Novikov, “On the reduction the the dressing chain of the Schrodinger operator", Theor. Math. Phys., 123, 3, 2000.

14.   V.S. Novikov, “Equations invariant under autosubstitutions", Theor. Math. Phys., 116, 2, 1998.

Back to the main page

 


Department of Mathematical Sciences | Loughborough University