Negative-order integrable modified KdV equations of higher orders
From MaRDI portal
Publication:1800177
DOI10.1007/s11071-018-4265-3zbMath1398.37086OpenAlexW2799337621MaRDI QIDQ1800177
Publication date: 23 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4265-3
KdV equations (Korteweg-de Vries equations) (35Q53) Time series analysis of dynamical systems (37M10) Soliton solutions (35C08)
Related Items (16)
Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system ⋮ Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach ⋮ Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation ⋮ Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method ⋮ General M-lump, high-order breather, and localized interaction solutions to \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans ⋮ Collisions between lump and soliton solutions ⋮ The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation ⋮ Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation ⋮ Multi-waves, breather wave and lump-stripe interaction solutions in a \((2+1)\)-dimensional variable-coefficient Korteweg-de Vries equation ⋮ Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients* ⋮ Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics ⋮ Dynamics of multi-breathers, N-solitons and M-lump solutions in the \((2+1)\)-dimensional KdV equation ⋮ Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ Rational and semi-rational solutions of the Kadomtsev-Petviashvili-based system ⋮ Generation and control of multiple solitons under the influence of parameters
Uses Software
Cites Work
- Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities
- A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
- Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions
- Negative order MKdV hierarchy and a new integrable Neumann-like system
- A numerical method for KdV equation using collocation and radial basis functions
- Soliton scattering with amplitude changes of a negative order AKNS equation
- Recursion operators and bi-Hamiltonian structures in multidimensions. II
- Partial differential equations and solitary waves theory
- Recursion operators and bi-Hamiltonian structures in multidimensions. I
- Distinct variants of the KdV equation with compact and noncompact structures.
- Integrable systems and their recursion operators.
- New `ansatz' for obtaining wave solutions of the generalized Camassa-Holm equation
- Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation
- N-soliton solutions for the Vakhnenko equation and its generalized forms
- A new generalized fifth-order nonlinear integrable equation
- Negative powers of Olver recursion operators
- Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations
- A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
- Symmetries and Integrability
- Application of hereditary symmetries to nonlinear evolution equations
- Evolution equations possessing infinitely many symmetries
- Nonlinear evolution-type equations and their exact solutions using inverse variational methods
This page was built for publication: Negative-order integrable modified KdV equations of higher orders