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

Corresponding Author:[email protected]

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