Homogeneous balance method and chaotic and fractal solutions for the Nizhnik-Novikov-Veselov equation
From MaRDI portal
Publication:1396116
DOI10.1016/S0375-9601(03)00803-XzbMath1040.35105OpenAlexW1988843497MaRDI QIDQ1396116
Publication date: 29 June 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00803-x
KdV equations (Korteweg-de Vries equations) (35Q53) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05)
Related Items
HAUSDORFF FRACTAL NEW COUPLED NONLINEAR SCHRÖDINGER MODEL AND ITS NOVEL SOLITARY WAVE SOLUTION, Analytic study on the higher order Itô equations: new solitary wave solutions using the Exp-function method, New periodic and soliton wave solutions for the generalized Zakharov system and \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov system, Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations, Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation, Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution, Abundant fractional solitons to the coupled nonlinear Schrödinger equations arising in shallow water waves, SOME NOVEL EVOLUTIONAL BEHAVIORS OF LOCALIZED EXCITATIONS IN THE BOITI–LEON–MARTINA–PEMPINELLI SYSTEM, Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method, NEW EXACT SOLUTIONS OF COUPLED (2+1)-DIMENSIONAL NONLINEAR SYSTEMS OF SCHRÖDINGER EQUATIONS, Exp-function method and its application to nonlinear equations, Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions, New abundant exact solutions for the \((2 + 1)\)-dimensional generalized Nizhnik-Novikov-Veselov system, Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations, Chaos, solitons and fractals in \((2 + 1)\)-dimensional KdV system derived from a periodic wave solution, New exact solutions of the Brusselator reaction diffusion model using the exp-function method
Cites Work
- Unnamed Item
- Multiple soliton-like solutions for \((2+1)\)-dimensional dispersive long-wave equations
- A new note on a homogeneous balance method
- An exact solution to the Kuramoto-Sivashinsky equation
- New exact solutions to a solutions to a system of coupled KdV equations
- Exact solutions of nonlinear equations
- Exact solutions for a compound KdV-Burgers equation
- An equation for continuous chaos
- A note on the homogeneous balance method
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
- Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
- Some new exact solutions of the Novikov - Veselov equation
- Lorenz Bifurcation: Instabilities in Quasireversible Systems
- Formal variable separation approach for nonintegrable models
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
