(2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effect
From MaRDI portal
Publication:1992318
DOI10.1155/2017/1378740zbMath1426.35200OpenAlexW2765235255MaRDI QIDQ1992318
Xin Chen, Min Guo, Bao Shu Yin, Hong Wei Yang
Publication date: 5 November 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/1378740
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Rossby waves (76U65)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On bilinear representations and infinite conservation laws of a nonlinear variable-coefficient equation
- Rational solutions to a KdV-like equation
- Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources
- Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
- Variational identities and applications to Hamiltonian structures of soliton equations
- A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy
- Some novel solutions for the two-coupled nonlinear Schrödinger equations
- Two families of Liouville integrable lattice equations
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
- The integrable coupling system of a \(3 \times 3\) discrete matrix spectral problem
- Darboux transformations of classical Boussinesq system and its new solutions
- Envelope solitary Rossby waves and modulational instabilities of uniform Rossby wave trains in two space dimensions
- Coupled-mode envelope solitary waves in a pair of cubic Schrödinger equations with cross modulation: Analytical solution and collisions with application to Rossby waves
- ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
- Dissipative nonlinear Schrödinger equation for envelope solitary Rossby waves with dissipation effect in stratified fluids and its solution
- Forced ILW-Burgers equation as a model for Rossby solitary waves generated by topography in finite depth fluids
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- A new integro-differential equation for Rossby solitary waves with topography effect in deep rotational fluids
- A new integrable symplectic map by the binary nonlinearization to the super AKNS system
- Two integrable lattice hierarchies and their respective Darboux transformations
- On the theory of solitary Rossby waves
- Generalised (2+1)-dimensional Super MKdV Hierarchy for Integrable Systems in Soliton Theory
- The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
- Long Non‐Linear Waves in Fluid Flows
