Be careful with variable separation solutions via the extended tanh-function method and periodic wave structures
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Publication:4968029
DOI10.15388/NA.2015.4.2zbMath1416.35017OpenAlexW2338960601MaRDI QIDQ4968029
Publication date: 12 July 2019
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/na.2015.4.2
general \((2+1)\) dimensional Korteweg-de Vries systemperiodic localized coherent structuresuniform variable separation solutions
KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Nonlinear higher-order PDEs (35G20) Other special methods applied to PDEs (35A25)
Cites Work
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- Algebraic operator method for the construction of solitary solutions to nonlinear differential equations
- Be careful with the Exp-function method - additional remarks
- The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
- Symmetry reductions and exact solutions of shallow water wave equations
- Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications
- Elastic interactions between multi-valued foldons and anti-foldons for the \({(2+1)}\)-dimensional variable coefficient Broer-Kaup system in water waves
- Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
- Fractal Structures and Chaotic Behaviors in a (2 + 1)-Dimensional Nonlinear System
- NEW TYPES OF INTERACTIONS BASED ON VARIABLE SEPARATION SOLUTIONS VIA THE GENERAL PROJECTIVE RICCATI EQUATION METHOD
- Analytical solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with varying parameters
- An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
- Embedded-Soliton and Complex Wave Excitations of (3+1)-Dimensional Burgers System
- Semifolded Localized Coherent Structures in General (2+1)-dimensional Korteweg de Vries System*
- Interactions among periodic waves and solitary waves for a higher dimensional system
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