Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms
DOI10.1016/j.cnsns.2021.106070zbMath1497.35396OpenAlexW3207214861MaRDI QIDQ2060637
Yinchuan Zhao, Xin Wang, Xue Zhang, Wei-Qin Chen, Lei Wang, Xue-Min Yao
Publication date: 13 December 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106070
characteristic linesstate transition(3+1)-dimensional B-type Kadomtsev-Petviashvili equationgradient relationshipline rouge wavenonlinear superposition mechanismshape-changed evolution
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum torus symmetry of the KP, KdV and BKP hierarchies
- Modulation instability and periodic solutions of the nonlinear Schrödinger equation
- Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation
- A new extended KP hierarchy
- Exact solutions and conservation laws of a \({(3+1)}\)-dimensional B-type Kadomtsev-Petviashvili equation
- Bäcklund transformations and soliton solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
- The KP hierarchy, branched covers, and triangulations
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- Constrained KP hierarchy and bi-Hamiltonian structures
- A novel class of solutions of the non-stationary Schrödinger and the Kadomtsev-Petviashvili I equations
- Rogue-wave solutions of the Zakharov equation
- \(N\)-solitons, breathers, lumps and rogue wave solutions to a \((3+1)\)-dimensional nonlinear evolution equation
- The Kadomtsev-Petviashvili (KP), MKP, and coupled KP equations for two-ion-temperature dusty plasmas
- Asymptotic analysis of multilump solutions of the Kadomtsev-Petviashvili-I equation
- Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation
- Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
- Rational solutions for a (3+1)-dimensional nonlinear evolution equation
- Modified constrained KP hierarchy and bi-Hamiltonian structures
- Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- Gauge transformation and symmetries of the commutative multicomponent BKP hierarchy
- Water waves, nonlinear Schrödinger equations and their solutions
- On the evolution of packets of water waves
- Classification of the line-soliton solutions of KPII
- Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
- Constraints of the Kadomtsev–Petviashvili hierarchy
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Rational solutions of the Kadomtsev–Petviashvili hierarchy and the dynamics of their poles. I. New form of a general rational solution
- Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
- Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects
- The n-component KP hierarchy and representation theory
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions
- High-dimensional nonlinear wave transitions and their mechanisms
- Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation
- Dynamics of perturbations at the critical points between modulation instability and stability regimes
- On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry
- Moving breathers and breather-to-soliton conversions for the Hirota equation
- Multi-rogue waves solutions: from the NLS to the KP-I equation
- Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies
- Hall-Littlewood symmetric functions and the BKP equation
- Supersymmetric BKP systems and their symmetries
This page was built for publication: Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms
