loading page

Optimal System, Invariant Solutions and Conservation Laws of the Dispersionless B type Kadomtsev-Petviashvili Equation
  • +1
  • Ilangovane Ramasamy,
  • K Krishnakumar,
  • Paliathanasis Andronikos,
  • P Leach
Ilangovane Ramasamy
Perunthalaivar Kamarajar Institute of Engineering and Technology
Author Profile
K Krishnakumar
Pondicherry University

Corresponding Author:krishapril09@gmail.com

Author Profile
Paliathanasis Andronikos
Universidad Austral de Chile
Author Profile
P Leach
University of KwaZulu-Natal
Author Profile

Abstract

In this paper, we consider the dispersionless B type Kadomtsev-Petviashvili (dBKP) equation through quasi classical limit of BKP equation. We investigate the existence of one-parameter point transformations in which the dBKP equation remains invariant by admitting a five-dimensional Lie algebra. For the admitted Lie symmetries, we calculate the one-dimensional optimal system, a necessary analysis to perform the reduction process. Using this, we obtain various closed-form similarity solutions for the dBKP equation. In addition to this, we also derive the associated conservation laws of this equation through Ibragimov’s method.