VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG–de VRIES EQUATION FROM BOSE–EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION
From MaRDI portal
Publication:3398002
DOI10.1142/S0217979209049851zbMath1170.35515MaRDI QIDQ3398002
Juan Li, Bo Tian, Tao Xu, Ya-Xing Zhang, Chun-Yi Zhang, Xiang-Hua Meng
Publication date: 25 September 2009
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Lax pairauto-Bäcklund transformationvariable-coefficient Korteweg--de Vries equationvariable-coefficient Miura transformation
KdV equations (Korteweg-de Vries equations) (35Q53) Phase transitions (general) in equilibrium statistical mechanics (82B26)
Related Items (4)
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation ⋮ Nonautonomous solitons for an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma ⋮ Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids ⋮ Conservation laws, symmetry reductions, and new exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation with time-dependent coefficients
Cites Work
- The effect of a bump on wave propagation in a fluid-filled elastic tube
- Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
- Higher-order solution of an electron acoustic solitary waves via vortex electron distribution
- Higher order solution of the dust ion acoustic solitons in a warm dusty plasma with vortex-like electron distribution
- 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
- Lax pair, Bäcklund transformation and \(N\)-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- 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
- Solitons on a Background and a Shock Wave
- Symbolic computation on integrable properties of a variable-coefficient Korteweg–de Vries equation from arterial mechanics and Bose–Einstein condensates
- Symbolic computation on the multi-soliton-like solutions of the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas
- On interfacial solitary waves over slowly varying topography
- Formation of shocklike modified Korteweg–de Vries solitons: Application to double layers
- Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
- Certain dark-solitonic features in optical fibres
- Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Soliton-like solutions of a generalized variable-coefficient higher order nonlinear Schrödinger equation from inhomogeneous optical fibers with symbolic computation
- Symbolic computation on integrable decompositions for the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas and Bose–Einstein condensates
- EXTENDED TANH-METHODS AND SOLITONIC SOLUTIONS OF THE GENERAL SHALLOW WATER WAVE MODELS
This page was built for publication: VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG–de VRIES EQUATION FROM BOSE–EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION
