Fission and fusion collision of high-order lumps and solitons in a \((3+1)\)-dimensional nonlinear evolution equation
From MaRDI portal
Publication:2050427
DOI10.1007/s11071-019-04935-5zbMath1468.37053OpenAlexW2938239376MaRDI QIDQ2050427
Shengqi Li, Chu Wang, Xiaoxiao Zheng, Wei Liu
Publication date: 31 August 2021
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04935-5
Hirota bilinear methodKP hierarchy reduction methodlump-soliton solution\((3+1)\)-dimensional nonlinear evolution
Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items
Breathers, interactions between breathers and lumps for a (3 + 1)-dimensional nonlinear evolution equation for the shallow-water waves, Solitonic fusion and fission for a \((3 + 1)\)-dimensional generalized nonlinear evolution equation arising in the shallow water waves, Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves, Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves
Cites Work
- Unnamed Item
- Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
- Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
- Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- Bilinear transformation method
- A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
- The time-periodic solutions to the modified Zakharov equations with a quantum correction
- Orbital stability of periodic traveling wave solutions to the generalized Zakharov equations
- Rogue waves of a \((3+1)\)-dimensional nonlinear evolution equation
- Rogue wave and a pair of resonance stripe solitons to a reduced (3+1)-dimensional Jimbo-Miwa equation
- Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
- Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation
- Interaction of two lump solitons described by the Kadomtsev-Petviashvili equation
- Global existence and the optimal decay rates for the three dimensional compressible nematic liquid crystal flow
- General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations
- Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations
- Three-Dimensional Lattice Boltzmann Model for High-Speed Compressible Flows
- Inverse scattering transform for the KPI equation on the background of a one-line soliton*
- Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
- Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Semi-rational solutions of the third-type Davey-Stewartson equation
- A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation
- Dynamics of rogue waves in the Davey–Stewartson II equation
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Interaction of lumps with a line soliton for the DSII equation
