Abstract
Under investigation is a generalized variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources. Our main job is divided into four parts: (i) lump wave solution, (ii) interaction solutions between lump and solitary wave, (iii) breather wave solution and (iv) interaction solutions between lump and periodic wave. Furthermore, the interaction phenomenon of waves is shown in some 3D- and contour plots.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Ethical standard: The authors state that this research complies with ethical standards. This research does not involve either human participants or animals.
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Conflict of interest statement: The authors declare that there is no conflict of interests regarding the publication of this article.
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation
- Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
- Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition
- The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
- Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method
- Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
- Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
- Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls
- 3D structure of single and multiple vortices in a flow under rotation
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation
- Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
- Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition
- The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
- Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method
- Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
- Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
- Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls
- 3D structure of single and multiple vortices in a flow under rotation
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources