The eigenvalue problem of the general Einstein–Weyl metric equation and exact self-similar and multi-traveling waves solutions

HI Abdel-Gawad - Indian Journal of Physics, 2022 - Springer
The integrability of the general Einstein–Weyl Metric equation is studied. Here, the approach
proposed is based on using the extended and generalized unified methods. These methods …

Algebraic structures on the flows of dispersionless modified KP equation

R Ilangovane, K Krishnakumar, KM Tamizhmani - Pramana, 2021 - Springer
In this paper, we derive the non-isospectral flows of dispersionless modified Kadomtsev–
Petviashvili (dmKP) hierarchies by applying quasiclassical limit in the associated Lax …

Optimal System, Invariant Solutions and Conservation Laws of the Dispersionless B type Kadomtsev-Petviashvili Equation

I Ramasamy, K Krishnakumar, P Andronikos, P Leach - 2024 - authorea.com
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 …

Second-order PDEs with integrable symbols

S Berjawi - 2021 - repository.lboro.ac.uk
The aim of this project is to study nonlinear second order partial differential equations
(PDEs) in three and four dimensions (3D, 4D) and establish integrability of certain classes of …

[PDF][PDF] Lie symmetries and Similarity transformations for the dispersionless B type Kadomtsev-Petviashvili equation

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 …