Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation
From MaRDI portal
Publication:2275022
DOI10.1007/s11071-018-4482-9zbMath1422.35150OpenAlexW2884205366WikidataQ129461117 ScholiaQ129461117MaRDI QIDQ2275022
Xiaoxiao Zheng, Xi-liang Li, Wei Liu
Publication date: 2 October 2019
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4482-9
soliton solutionHirota's bilinear methodKP hierarchy reduction methodpartial reverse space-time nonlocal Mel'nikov equation
Related Items
Investigating lump and its interaction for the third-order evolution equation arising propagation of long waves over shallow water ⋮ Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Interaction of wave structure in the \(\mathcal{PT}\)-symmetric \((3+1)\)-dimensional nonlocal Mel'nikov equation and their applications ⋮ Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: Modulation instability ⋮ Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation ⋮ Multi-Breather, Rogue Wave and Multi-Bright-Dark Soliton Interaction of the (2+1)-Dimensional Nonlocal Fokas System ⋮ Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system ⋮ Fission and fusion collision of high-order lumps and solitons in a \((3+1)\)-dimensional nonlinear evolution equation ⋮ \(M\) lump and interaction between \(M\) lump and \(N\) stripe for the third-order evolution equation arising in the shallow water
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation
- Some results on difference polynomials sharing values
- Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
- On equations for wave interactions
- Solitons and infinite dimensional Lie algebras
- Bilinear transformation method
- A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
- Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation
- The time-periodic solutions to the modified Zakharov equations with a quantum correction
- Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system
- Orbital stability of periodic traveling wave solutions to the generalized Zakharov equations
- Exponentially localized solutions of Mel'nikov equation
- General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition
- General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions
- Negative-order integrable modified KdV equations of higher orders
- Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
- Families of rational and semirational solutions of the partial reverse space-time nonlocal Mel'nikov equation
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- Two spatial dimensional N-rogue waves and their dynamics in Mel'nikov equation
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations
- Complete integrability of nonlocal nonlinear Schrödinger equation
- Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Reflection of waves in nonlinear integrable systems
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system
- Transformations between Nonlocal and Local Integrable Equations
- Nonlocal nonlinear Schrödinger equations and their soliton solutions
- Several reverse-time integrable nonlocal nonlinear equations: Rogue-wave solutions
- Rogue waves of the nonlocal Davey–Stewartson I equation
- Integrable Nonlocal Nonlinear Equations
- Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
- 𝓟𝓣-symmetric quantum mechanics
- Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
- Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
