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(2 + 1)-Dimensional Pavlov equation; optimal system; invariant solutions

In this work, Lie symmetry analysis and one-dimensional optimal system for Pavlov equation are presented. All the possible vector fields, their commutative and adjoint relations are carried out under invariance property of Lie group theory. On the basis of optimal system, similarity reductions of Pavlov equation are obtained. A repeated process of similarity reductions transforms the Pavlov equation into ordinary differential equations, which generate invariant solutions. The obtained invariant solutions are supplemented by numerical simulation toanalyse the physical behaviour. Thus, their parabolic, multisoliton, nonlinear, kink and antikink wave profiles are traced in results and discussions sections.

SACHIN KUMAR¹ MUKESH KUMAR² DHARMENDRA KUMAR³

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110 007, India
2. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, India
3. Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi 110 007, India

Published

25 January 2020

Manuscript received

12 June 2019

Manuscript revised

19 September 2019

Accepted

17 October 2019

Early published

Unedited version published online

Final version published online

20 January 2020