A variety of \((3+1)\)-dimensional mKdV equations derived by using the mKdV recursion operator
From MaRDI portal
Publication:1641260
DOI10.1016/j.compfluid.2014.01.010zbMath1390.35288OpenAlexW2092988819MaRDI QIDQ1641260
Publication date: 19 June 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2014.01.010
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
Related Items (5)
New exact solutions and numerical approximations of the generalized KdV equation ⋮ Two new Painlevé-integrable (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients ⋮ Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions ⋮ Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation ⋮ A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation
Uses Software
Cites Work
- Unnamed Item
- Burgers hierarchy: multiple kink solutions and multiple singular kink solutions
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Partial differential equations and solitary waves theory
- Integrable systems and their recursion operators.
- Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity
- A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations
- \((2+1)\)-dimensional mKdV (N) equations by the mKdV recursion operator: multiple soliton and multiple singular soliton solutions
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system
- Symmetry classification and invariant solutions of the variable coefficient BBM equation
- Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations
- The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- A study on the (2 + 1)-dimensional KdV4 equation derived by using the KdV recursion operator
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
- Symmetries and Integrability
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
- Evolution equations possessing infinitely many symmetries
- (2 + 1)-dimensional Korteweg–de Vries (N) equations derived by using the Korteweg–de Vries recursion operator
- Lax–Nijenhuis operators for integrable systems
- A List of 1 + 1 Dimensional Integrable Equations and Their Properties
- Geometric Differences between the Burgers and the Camassa-Holm Equations
This page was built for publication: A variety of \((3+1)\)-dimensional mKdV equations derived by using the mKdV recursion operator