Ablowitz–Kaup–Newell–Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg–de Vries equation in plasma physics, fluid dynamics or atmospheric science
DOI10.1142/S0217979220502264zbMath1451.35158OpenAlexW3084369331MaRDI QIDQ5140232
Yu-Qi Chen, Meng Wang, He-Yuan Tian, Qi-Xing Qu, He Li, Xue-Hui Zhao, Bo Tian
Publication date: 15 December 2020
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979220502264
plasmaatmospheric flowBäcklund transformationfluidinfinite conservation lawsvariable-coefficient Korteweg-de Vries equationnon-isospectral Ablowitz-Kaup-Newell-Segur system
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (11)
Cites Work
- Unnamed Item
- A numerical method for KdV equation using collocation and radial basis functions
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- Lax pair for the general KP equation with explicit \(x, y\) and \(t\) dependence
- General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
- Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
- Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation
- Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
- Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma
- Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
- Nonintegrable reductions of the self-dual Yang–Mills equations in a metric of plane wave type
- The Bäcklund and Inverse Scattering Transform of the K-dV Equation with Nonuniformities
- On Integrable Properties for Two Variable-Coefficient Evolution Equations
- Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
- Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves
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