A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation: Multiple exp-function algorithm; conservation laws; similarity solutions

A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation which is an augmentation of the Bogoyavlenskii–Schiff equation and Kadomtsev–Petviashvili equation is probed. This equation is hired as a prototype for evolutionary shallow-water waves. The Bogoyavlenskii–Kadomtsev–...

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Vydáno v:Communications in nonlinear science & numerical simulation Ročník 106; s. 106072
Hlavní autoři: Moretlo, T.S., Adem, A.R., Muatjetjeja, B.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.03.2022
Elsevier Science Ltd
Témata:
A generalized ([formula omitted])-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation
Algorithms
Conservation laws
Exact solutions
Fluid dynamics
Multiple exp-function algorithm
Nonlinear equations
Plasmas (physics)
Schrodinger equation
Similarity solutions
Water waves
Multiple exp-function algorithm
Conservation laws
35C05
35G20
Similarity solutions
A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation
35C07
ISSN:1007-5704, 1878-7274
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Shrnutí:A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation which is an augmentation of the Bogoyavlenskii–Schiff equation and Kadomtsev–Petviashvili equation is probed. This equation is hired as a prototype for evolutionary shallow-water waves. The Bogoyavlenskii–Kadomtsev–Petviashvili equation is ambassador of the higher dimensional Kadomtsev–Petviashvili hierarchy. This equation was acquired by a diminution for the well-known three-dimensional Kadomtsev–Petviashvili equation which illustrates the dissemination of nonlinear waves in plasmas and fluid dynamics. We determine novel exact solutions by utilizing the multiple exp-function algorithm and the modern group analysis method. Finally, we compute conserved currents courtesy using the invariance and multiplier technique. The findings can well mimic complex waves and their dealing dynamics in fluids. •A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation which is an augmentation of the Bogoyavlenskii–Schiff equation and Kadomtsev–Petviashvili equation is probed.•We determine novel exact solutions by utilizing the multiple exp-function algorithm and the modern group analysis method.•Finally, we compute conserved currents courtesy using the invariance and multiplier technique.•The Lie point symmetries consist of time translation, space translation and a scaling transformation.•The novell similarity reductions and new exact solutions are computed. The solutions obtained include the solitary waves, cnoidal and snoidal waves.•In addition, we derive the conservation laws of the underlying system by employing the multiplier variational method and discuss the significance of the computed conservation laws.
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ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2021.106072