Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
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Publication:6542287
DOI10.1016/j.cjph.2022.04.014MaRDI QIDQ6542287
Wen-Rui Shan, Yong Jiang Guo, Xin-Yi Gao
Publication date: 21 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
symbolic computationsimilarity reductionsfluid dynamicsgeneralized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation
Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) General topics in optics and electromagnetic theory (78Axx)
Cites Work
- Unnamed Item
- Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Parabola solitons for the nonautonomous KP equation in fluids and plasmas
- Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
- Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation
- Periodic, breather and rogue wave solutions for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles
- Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique
- \(N\)-soliton solution of a combined pKP-BKP equation
- Certain electromagnetic waves in a ferromagnetic film
- Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
- Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
- Vector bright soliton interactions of the two-component AB system in a baroclinic fluid
- Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics
- Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics
- Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma
- \(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensions
- Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber
- Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves
- Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system
- Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics
- Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
- Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber
- Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
- Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
- Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations
- Weakly coupled B-type Kadomtsev-Petviashvili equation: lump and rational solutions
- Unconventional characteristic line for the nonautonomous KP equation
- \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation
- Lie group analysis for a higher-order Boussinesq-Burgers system
- New similarity reductions of the Boussinesq equation
- Dynamics of Lump Solutions, Rogue Wave Solutions and Traveling Wave Solutions for a (3 + 1)-Dimensional VC-BKP Equation
- Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics
- Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre
- Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics
- Creeping flow of a viscous fluid in a uniformly porous slit with porous medium: an application to the diseased renal tubules
- Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Self-similar analysis of Eyring-Powell fluid in boundary layer without simplification
- Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg-de Vries equation for the surface waves in a strait or large channel
- Acousto-elastic radiation force on a fluid cylindrical inclusion embedded in a linear elastic medium
- Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev-Petviashvili system in fluid mechanics and plasma physics
- In oceanography, acoustics and hydrodynamics: investigations on an extended coupled (2+1)-dimensional Burgers system
Related Items (4)
Classification and soliton for a generalized fourth-order dispersive nonlinear Schrödinger equation in a Heisenberg spin chain ⋮ On a Whitham-Broer-Kaup-like system arising in the oceanic shallow water ⋮ Generalized Darboux transformation and rogue waves for a coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber ⋮ Painlevé analysis, Bäcklund transformation and soliton solutions of the \((2 + 1)\)-dimensional variable-coefficient Boussinesq equation
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