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## Article

Vakhnenko, V.O. and Parkes, E. J.
(2016)
*Approach in theory of nonlinear evolution equations : the Vakhnenko-Parkes equation.*
Advances in Mathematical Physics, 2016.
ISSN 1687-9139

Vakhnenko, V.O. and Parkes, E.J.
(2016)
*The inverse problem for some special spectral data.*
Chaos, Solitons and Fractals, 82.
pp. 116-124.
ISSN 0960-0779

Vakhnenko, V.O. and Parkes, E.J.
(2012)
*The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method.*
Chaos, Solitons and Fractals, 45 (6).
pp. 846-852.
ISSN 0960-0779

Vakhnenko, V.O. and Parkes, E.J.
(2012)
*Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation.*
Progress of Theoretical Physics, 127 (4).
pp. 593-613.

Vakhnenko, V.O. and Parkes, E.J.
(2012)
*Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations.*
Journal of Mathematical Physics, 53 (6).
ISSN 0022-2488

Parkes, Edward
(2011)
*Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63].*
Computers and Fluids, 42 (1).
pp. 108-109.
ISSN 0045-7930

Abbasbandy, S. and Parkes, E.J.
(2010)
*Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method.*
International Journal of Computer Mathematics, 87 (10).
pp. 2303-2313.
ISSN 0020-7160

Deng, Xijun and Parkes, E.J. and Cao, Jinlong
(2010)
*Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch).*
Applied Mathematics and Computation, 217 (4).
pp. 1566-1576.
ISSN 0096-3003

Parkes, E.J.
(2010)
*Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations.*
Applied Mathematics and Computation, 217.
pp. 1759-1763.
ISSN 0096-3003

Parkes, E.J.
(2010)
*Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations.*
Applied Mathematics and Computation, 217.
pp. 1749-1754.
ISSN 0096-3003

Parkes, E.J.
(2010)
*A note on "new travelling wave solutions to the Ostrovsky equation".*
Applied Mathematics and Computation, 217.
pp. 3575-3577.
ISSN 0096-3003

Parkes, E.J.
(2010)
*A note on loop-soliton solutions of the short-pulse equation.*
Physics Letters A, 374.
pp. 4321-4323.
ISSN 0375-9601

Parkes, E.J.
(2010)
*A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation.*
Communications in Nonlinear Science and Numerical Simulation, 15 (10).
pp. 2769-2771.
ISSN 1007-5704

Parkes, E.J.
(2009)
*A note on travelling-wave solutions to Lax's seventh-order KdV equation.*
Applied Mathematics and Computation, 215 (2).
pp. 864-865.
ISSN 0096-3003

Parkes, E.J. and Abbasbandy, S.
(2009)
*Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method.*
Numerical Methods for Partial Differential Equations, 25 (2).
pp. 401-408.
ISSN 0749-159X

Parkes, E.J.
(2008)
*Some periodic and solitary travelling-wave solutions of the short pulse equation.*
Chaos, Solitons and Fractals, 38 (1).
pp. 154-159.
ISSN 0960-0779

Abbasbandy, S. and Parkes, E.J.
(2008)
*Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method.*
Chaos, Solitons and Fractals, 36 (3).
pp. 581-591.
ISSN 0960-0779

Parkes, E. John
(2008)
*Periodic and solitary-wave solutions of an extended reduced Ostrovsky equation.*
Symmetry, Integrability and Geometry: Methods and Applications, 4 (053).
ISSN 1815-0659

Parkes, E.J.
(2007)
*Explicit solutions of the reduced Ostrovsky equation.*
Chaos, Solitons and Fractals, 31 (3).
pp. 602-610.
ISSN 0960-0779

Duan, Wen-Shan and Wang, Hong-Yan and Parkes, John
(2006)
*Compressive and rarefactive waves in dust plasma with non-thermal ions.*
Communications in Theoretical Physics, 45 (6).
pp. 1112-1116.
ISSN 0253-6102

Parkes, E.J. and Vakhnenko, V.O.
(2005)
*Explicit solutions of the Camassa-Holm equation.*
Chaos, Solitons and Fractals, 26 (5).
pp. 1309-1316.
ISSN 0960-0779

Parkes, E.J. and Munro, S.
(2005)
*The stability of obliquely-propagating solitary-wave solutions to Zakharov-Kuznetsov-type equations.*
Journal of Plasma Physics, 71 (5).
pp. 695-708.
ISSN 0022-3778

Duan, Wen-shan and Parkes, John and Lin, Mai-mai
(2005)
*Wave packet in a two-dimensional hexagonal crystal.*
Physics of Plasmas, 12 (2).
022106-1.
ISSN 1070-664X

Munro, S. and Parkes, E.J.
(2004)
*The stability of obliquely-propagating solitary-wave solutions to a modified Zakharov-Kuznetsov equation.*
Journal of Plasma Physics, 70 (5).
pp. 543-552.

Duan, Wen-shan and Parkes, John and Zhang, Lei
(2004)
*Modulational instability of dust envelope waves with grain and charge distribution.*
Physics of Plasmas, 11 (8).
pp. 3762-3766.
ISSN 1070-664X

Vakhnenko, V.O. and Parkes, E.J.
(2004)
*Periodic and solitary-wave solutions of the Degasperis-Procesi equation.*
Chaos, Solitons and Fractals, 20 (5).
pp. 1059-1073.

Duan, Wen-shan and Parkes, John
(2003)
*Dust size distribution for dust acoustic waves in a magnetized dusty plasma.*
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68 (6).
067402.
ISSN 1063-651X

Parkes, E.J.
(2003)
*A note on solitary-wave solutions to compound KdV-Burgers equations.*
Physics Letters A, 317 (5-6).
pp. 424-428.
ISSN 0375-9601

Vakhnenko, V.O. and Parkes, E.J. and Morrison, A.J.
(2003)
*A Backlund transformation and the inverse scattering transform method for the generalised Vakhnenko equation.*
Chaos, Solitons and Fractals, 17 (4).
pp. 683-692.
ISSN 0960-0779

Parkes, E.J.
(2003)
*A note on Demiray's solution to the perturbed Burgers' equation.*
Applied Mathematical Modelling, 27 (6).
pp. 487-488.
ISSN 0307-904X

Morrison, A.J. and Parkes, E.J.
(2003)
*The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).*
Chaos, Solitons and Fractals, 16 (1).
pp. 13-26.
ISSN 0960-0779

Vakhnenko, V.O. and Parkes, E.J.
(2002)
*The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.*
Chaos, Solitons and Fractals, 13 (9).
pp. 1819-1826.
ISSN 0960-0779

Parkes, E.J. and Duffy, B.R. and Abbott, P.C.
(2002)
*The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations.*
Physics Letters A, 295 (5-6).
pp. 280-286.
ISSN 0375-9601

Morrison, A.J. and Parkes, E.J.
(2001)
*The N-soliton solution of a generalized Vakhnenko equation.*
Glasgow Mathematical Journal, 43 (A).
pp. 65-90.
ISSN 0017-0895

Munro, S. and Parkes, E.J.
(2000)
*Stability of solitary-wave solutions to a modified Zakharov-Kuznetsov equation.*
Journal of Plasma Physics, 64 (4).
pp. 411-426.
ISSN 0022-3778

## Book Section

Vakhnenko, Vyacheslav O. and Parkes, John
(2004)
*The connection of the Degasperis-Procesi equation with the Vakhnenko equation.*
In:
Proceedings, 5th International Conference on Symmetry in Nonlinear Mathematical Physics (SYMMETRY 03).
Proceedings of Institute of Mathematics of NAS of Ukraine, 50
.
Institute of Mathematics of NAS, pp. 493-497.
ISBN 9660232241

Vakhnenko, V.O. and Parkes, E.J.
(2002)
*A novel nonlinear evolution equation integrable by the inverse scattering method.*
In:
Proceedings of the Fourth International Conference, Symmetry in Nonlinear Mathematical Physics.
Proceedings of Institute of Mathematics of NAS of Ukraine, 43
.
Institute of Mathematics of NAS, Kyiv, Ukraine, pp. 384-391.
ISBN 9660224869

**Tue Sep 26 08:20:37 2017 BST**.