Integrability characteristics of a novel (2+1 )-dimensional nonlinear model: Painleve analysis, soliton solutions, Backlund transformation, Lax pair and infinitely many conservation laws

摘要

The (2+1)-dimensional Kadomtsev-Petviashvili type equations describe the nonlinear phenomena and characteristics in oceanography, fluid dynamics and shallow water. In the literature, a novel (2+1)-dimensional nonlinear model is proposed, and the localized wave interaction solutions are studied including lump-kink and lump-soliton types. Hereby, it is of further value to investigate the integrability characteristics of this model. In this paper, we firstly conduct the Painleve analysis and find it fails to pass the Painleve test due to a non-vanishing compatibility condition at the highest resonance level. Then we derive the soliton solutions and give the formula of the N-soliton solution, which is proved by means of the Hirota condition. The criterion for the linear superposition principle is also given to generate the resonant solutions. Backlund transformation, Lax pair and infinitely many conservation laws are derived through the Hirota bilinear method and Bell polynomial approach. As a result, we have a more overall understanding of the integrability characteristics of this novel (2+1)-dimensional nonlinear model. (C) 2020 Elsevier B.V. All rights reserved.