Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system
From MaRDI portal
Publication:6540953
DOI10.1016/j.aml.2024.109018zbMATH Open1543.35203MaRDI QIDQ6540953
Publication date: 17 May 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
latticesymbolic computationsimilarity reductiontwo-layer liquid\((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08) Liquid-liquid two component flows (76T06)
Cites Work
- Ordinary differential equations.
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
- Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics
- Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber
- New similarity reductions of the Boussinesq equation
- Modulational instability and rogue wave solutions for the mixed focusing-defocusing semi-discrete coherently coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair
- Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a \((3+1)\)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli equation
- Inverse problem for the nonlinear long wave runup on a plane sloping beach
- Asymptotically linear magnetic fractional problems
- Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface
- Lie symmetry analysis, optimal system, symmetry reductions and analytic solutions for a \((2+1)\)-dimensional generalized nonlinear evolution system in a fluid or a plasma
- Considering the wave processes in oceanography, acoustics and hydrodynamics by means of an extended coupled (2+1)-dimensional Burgers system
Related Items (17)
Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation ⋮ In the shallow water: auto-Bäcklund, hetero-Bäcklund and scaling transformations via a (2+1)-dimensional generalized Broer-Kaup system ⋮ Interactions of certain localized waves for an extended \((3+1)\)-dimensional Kadomtsev-Petviashvili equation in fluid mechanics ⋮ Symbolic computation on a (2+1)-dimensional generalized nonlinear evolution system in fluid dynamics, plasma physics, nonlinear optics and quantum mechanics ⋮ Similarity reductions on a \((2+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system describing certain electromagnetic waves in a thin film ⋮ Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415 ⋮ Painlevé analysis, bilinear forms, Bäcklund transformations and solitons for a variable-coefficient extended Korteweg-de Vries equation with an external-force term in fluid mechanics and plasma dynamics ⋮ For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system ⋮ Riemann-Hilbert approach, dark solitons and double-pole solutions for Lakshmanan-Porsezian-Daniel equation in an optical fiber, a ferromagnetic spin or a protein ⋮ Double-pole dark-bright mixed solitons for a three-wave-resonant-interaction system ⋮ \(N\)-soliton and other analytic solutions for a \((3 + 1)\)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation with the time-dependent coefficients for the shallow water waves ⋮ Modulation instability, bifurcation and chaotic behaviors for a generalized \((2+1)\)-dimensional nonlinear wave equation in a fluid or solid ⋮ Bilinear form, \(N\) solitons, breathers and periodic waves for a (3+1)-dimensional Korteweg-de Vries equation with the time-dependent coefficients in a fluid ⋮ Properties of the hybrid solutions for a generalized \((3 + 1)\)-dimensional KP equation ⋮ Breathers and interaction phenomena on the non-constant backgrounds for a (3+1)-dimensional generalized shallow water wave equation with variable coefficients ⋮ \(\overline{\partial}\)-dressing approach and \(N\)-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation ⋮ Multi-geometric discrete spectral problem with several pairs of zeros for Sasa-Satsuma equation
This page was built for publication: Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system
