A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation
From MaRDI portal
Publication:827494
DOI10.3934/dcdss.2020167zbMath1451.35155OpenAlexW2994434116WikidataQ126579151 ScholiaQ126579151MaRDI QIDQ827494
Jin-Yun Yang, Yu-Feng Zhang, Wen-Xiu Ma
Publication date: 12 January 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020167
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (4)
Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy ⋮ Integrability, multiple-cosh, lumps and lump-soliton solutions to a (2+1)-dimensional generalized breaking soliton equation ⋮ Quasi-periodic solutions of the Heisenberg hierarchy ⋮ Stripe solitons and lump solutions to a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- A note on rational solutions to a Hirota-Satsuma-like equation
- One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem
- A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy
- Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach
- Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
- Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation
- Mixed lump-kink solutions to the KP equation
- Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Breather, lump and \(X\) soliton solutions to nonlocal KP equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Conservation laws by symmetries and adjoint symmetries
- Mixed lump-kink solutions to the BKP equation
- A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions
- Lump solutions to a \((2+1)\)-dimensional extended KP equation
- Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
- Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Lump and interaction solutions to the \((2+1)\)-dimensional Burgers equation
- Hybrid solutions of (3 + 1)-dimensional Jimbo-Miwa equation
- M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation
- Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
- Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation
- Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation
- Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- A new integrable symplectic map by the binary nonlinearization to the super AKNS system
- The AKNS hierarchy as symmetry constraint of the KP hierarchy
- Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem
- Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- Two-dimensional lumps in nonlinear dispersive systems
- The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
- Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions
- Abundant Mixed Lump-Soliton Solutions to the BKP Equation
- Rogue waves and lump solitons for a -dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics
- Novel Wronskian Condition and New Exact Solutions to a (3 + 1)-Dimensional Generalized KP Equation
- 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: A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation
