Soliton, breather, lump and their interaction solutions of the \((2+1)\)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
From MaRDI portal
Publication:2114351
DOI10.1186/s13662-019-2271-5zbMath1485.35333OpenAlexW2967968803MaRDI QIDQ2114351
Publication date: 15 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2271-5
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (4)
Interaction solutions for the (2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation in incompressible fluid ⋮ Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation ⋮ A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation ⋮ Lump-type wave and interaction solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation
Cites Work
- Unnamed Item
- Unnamed Item
- Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations
- \((n + 1)\)-dimensional reduced differential transform method for solving partial differential equations
- Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
- Interaction phenomena between a lump and other multi-solitons for the \((2+1)\)-dimensional BLMP and Itô equations
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- New exact solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
- Modulational instability and higher-order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves
- A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions
- Localized waves and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation
- Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- Integrability aspects of some two-component KdV systems
- M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation
- Modulational instability and higher order-rogue wave solutions for the generalized discrete Hirota equation
- The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation
- Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation
- Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
- A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems
- Lump solutions to the Kadomtsev-Petviashvili equation
- Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
- Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- Two-dimensional lumps in nonlinear dispersive systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation
- A Riemann–Hilbert Approach to Complex Sharma–Tasso–Olver Equation on Half Line *
- An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
This page was built for publication: Soliton, breather, lump and their interaction solutions of the \((2+1)\)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
