Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation

•A new approach is proposed to search for the interaction solutions, which can decrease the complexity of the associated nonlinear algebraic equations via reducing the number of the variables.•The fast calculation approach provides the condition for the predictability of the interaction solution.•In...

Full description

Saved in:
Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2020-11, Vol.90, p.105260, Article 105260
Main Authors: Xia, Jun-Wen, Zhao, Yi-Wei, Lü, Xing
Format: Article
Language:English
Subjects:
Cylindrical Kadomtsev-Petviashvili equation
Fluid dynamics
Interaction solution
Lump solution
Multi-soliton solution
Nonlinear equations
Nonlinear phenomena
Nonlinear systems
Rational solution
Schrodinger equation
Simulation
Solitary waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•A new approach is proposed to search for the interaction solutions, which can decrease the complexity of the associated nonlinear algebraic equations via reducing the number of the variables.•The fast calculation approach provides the condition for the predictability of the interaction solution.•Interaction phenomena between lump wave and a stipe, and lump wave and soliton solution are discussed and numerically simulated. The cylindrical Kadomtsev-Petviashvili (cKP) equation related to cylindrical geometry, as one type of the variable-coefficient KP equation, is widely used to describe nonlinear phenomena in fluid, plasma and other fields. With symbolic computation, we have derived the multi-soliton solutions, rational solutions, lump solutions and interaction solutions to the cKP equation based on its bilinear representation. The interaction solutions include two types: The interaction between lump and stripe, and the interaction between lump and soliton. Moreover, we have proposed a new approach to search for the interaction solutions, which can decrease the complexity of the associated nonlinear algebraic equations via reducing the number of the variables. The fast calculation approach provides the condition for the predictability of the interaction solution.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2020.105260