N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION
From MaRDI portal
Publication:3398050
DOI10.1142/S0217979209052182zbMath1170.35516MaRDI QIDQ3398050
Hai-Qiang Zhang, Chun-Yi Zhang, Juan Li, Bo Tian, Tao Xu, Li-Li Li
Publication date: 25 September 2009
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The effect of a bump on wave propagation in a fluid-filled elastic tube
- Partial differential equations possessing Frobenius integrable decompositions
- Bilinear transformation method
- 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
- Bäcklund transformations and their applications
- A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
- Computational vascular fluid dynamics: problems, models and methods
- New soliton-like solutions for KdV equation with variable coefficient
- Abundant families of Jacobi elliptic function-like solutions for a generalized variable coefficients 2D KdV equation via the extended mapping method
- 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
- Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
- Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
- An approach for constructing nonisospectral hierarchies of evolution equations
- Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited
- New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Symmetries, conservation laws and Hamiltonian structures of the non-isospectral and variable coefficient KdV and MKdV equations
- On a generalized Kadomtsev–Petviashvili equation with variable coefficients via symbolic computation
- EXTENDED TANH-METHODS AND SOLITONIC SOLUTIONS OF THE GENERAL SHALLOW WATER WAVE MODELS
- Multiscale modelling of the circulatory system: a preliminary analysis
This page was built for publication: N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION