Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
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Wenying Cui
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Zhibin Li
Abstract
In this paper, a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation is investigated and its various new interaction solutions among solitons, rational waves and periodic waves are obtained by the direct algebraic method, together with the inheritance solving technique. The results are fantastic interaction phenomena, and are shown by figures. Meanwhile, any higher order interaction solutions among solitons, breathers, and lump waves are constructed by an N-soliton decomposition algorithm developed by us. These innovative results greatly enrich the structure of the solutions of this equation.
Funding source: Natural Science Foundation of Shanghai
Award Identifier / Grant number: 19ZR1414000
Funding source: Science and Technology Commission of Shanghai Municipality
Award Identifier / Grant number: 18dz2271000
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11871328
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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: The work is supported by the National Natural Science Foundation of China (No. 11871328), Shanghai Natural Science Foundation (No. 19ZR1414000), and is supported in part by Science and Technology Commission of Shanghai Municipality (No. 18dz2271000).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)
- Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space
- Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential
- Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid
- Controllability of coupled fractional integrodifferential equations
- A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
- Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations
- Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array
- Analysis and numerical effects of time-delayed rabies epidemic model with diffusion
- Two occurrences of fractional actions in nonlinear dynamics
- Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
- Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks
- Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order
- Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator
- Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior
- Pandemic management by a spatio–temporal mathematical model
- Adaptive ADI difference solution of quenching problems based on the 3D convection–reaction–diffusion equation
- Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump
- Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
- Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects
- Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
- Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)
- Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space
- Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential
- Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid
- Controllability of coupled fractional integrodifferential equations
- A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
- Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations
- Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array
- Analysis and numerical effects of time-delayed rabies epidemic model with diffusion
- Two occurrences of fractional actions in nonlinear dynamics
- Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
- Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks
- Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order
- Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator
- Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior
- Pandemic management by a spatio–temporal mathematical model
- Adaptive ADI difference solution of quenching problems based on the 3D convection–reaction–diffusion equation
- Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump
- Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
- Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects
- Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
- Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink
