\(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation
From MaRDI portal
Publication:928279
DOI10.1007/s10773-007-9480-5zbMath1143.35362OpenAlexW2077100375MaRDI QIDQ928279
Bo Tian, Zhen-Zhi Yao, Xiang-Hua Meng, Cheng Zhang, Chun-Yi Zhang, Hong-Wu Zhu, Xing Lü
Publication date: 11 June 2008
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-007-9480-5
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Software, source code, etc. for problems pertaining to partial differential equations (35-04)
Related Items (3)
Nonautonomous solitons for an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma ⋮ ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION ⋮ An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
- An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
- Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation
- Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
- Wave propagation in fluid filled nonlinear viscoelastic tubes
- A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
- Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
- Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Reply to: ``Comment on: `Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation' [Phys. Lett. A 361 (2007) 520]
- Solitary waves in an inhomogeneous rod composed of a general hyperelastic material
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
- Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
- Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- Slowly varying solitary waves. I. Korteweg-de Vries equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Integrable properties of a variable-coefficient Korteweg–de Vries model from Bose–Einstein condensates and fluid dynamics
- The Fluid Mechanics of Large Blood Vessels
- Spherical and cylindrical dust acoustic solitary waves
- Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations
This page was built for publication: \(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation
