Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
From MaRDI portal
Publication:2009464
DOI10.1007/s13324-018-0258-0zbMath1425.35173OpenAlexW2898468743MaRDI QIDQ2009464
Tian-Tian Zhang, Shou-Fu Tian, Min-Jie Dong, Xiu-Bin Wang
Publication date: 28 November 2019
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-018-0258-0
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items (10)
Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation ⋮ Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method ⋮ The abundant mixed solutions of \((2+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation ⋮ Investigation of solitons and mixed lump wave solutions with \((3+1)\)-dimensional potential-YTSF equation ⋮ \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation ⋮ The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations ⋮ Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms ⋮ General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION
Cites Work
- Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation
- Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- Evolution of lump solutions for the KP equation
- Asymptotic behavior of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
- Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- Mixed lump-kink solutions to the BKP equation
- Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrödinger equation
- Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
- Lump solutions to a \((2+1)\)-dimensional extended KP equation
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation
- On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- Wronskian solutions to integrable equations
- Non-travelling wave solutions to a \((3+1)\)-dimensional potential-YTSF equation and a simplified model for reacting mixtures
- Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint
- On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water
- Lump Solution of (2+1)-Dimensional Boussinesq Equation
- A multiple exp-function method for nonlinear differential equations and its application
- On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Two-dimensional lumps in nonlinear dispersive systems
- Nsoliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
- Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
- Lump solutions to the BKP equation by symbolic computation
This page was built for publication: Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
