DOI10.1016/j.aml.2021.107858zbMath1491.76013OpenAlexW4200049541MaRDI QIDQ2077069
Xiao-Tian Gao, Bo Tian
Publication date: 22 February 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107858
Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics ⋮
Bilinear form and nonlinear waves of a \((1+1)\)-dimensional generalized Boussinesq equation for the gravity waves over water surface ⋮
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 ⋮
Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system ⋮
Lie group analysis for a higher-order Boussinesq-Burgers system ⋮
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system ⋮
On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves ⋮
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation ⋮
Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons ⋮
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 ⋮
Elastic two-kink, breather, multiple periodic, hybrid and half-/local-periodic kink solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves ⋮
Mock-integrability and stable solitary vortices ⋮
\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium ⋮
Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects ⋮
Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system ⋮
Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients ⋮
Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation ⋮
Optical solitons of a cubic-quartic nonlinear Schrödinger equation with parabolic law nonlinearity in optical metamaterials ⋮
On the oceanic/laky shallow-water dynamics through a Boussinesq-Burgers system ⋮
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation ⋮
Solitons of the \((1 + 1)\)- and \((2 + 1)\)-dimensional chiral nonlinear Schrodinger equations with the Jacobi elliptical function method ⋮
Lie group analysis for a \((2+1)\)-dimensional generalized modified dispersive water-wave system for the shallow water waves ⋮
Solitons, breathers and modulation instability for a higher-order coupled nonlinear Schrödinger system for the ultrashort optical pulses in a nonlinear medium ⋮
\(N\)-soliton asymptotic analysis on the Gerdjikov-Ivanov equation for the Alfvén waves in a plasma ⋮
Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions ⋮
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions ⋮
Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system ⋮
Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma ⋮
Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system ⋮
Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations ⋮
Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics
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