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Ilangovane Ramasamy
Ilangovane Ramasamy

Public Documents 1
Optimal System, Invariant Solutions and Conservation Laws of the Dispersionless B typ...
Ilangovane Ramasamy
K Krishnakumar

Ilangovane Ramasamy

and 3 more

January 31, 2024
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.

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