SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION

Symbolic computation and algebraic computation (68W30) Nonnumerical algorithms (68W05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

Unnamed Item
Unnamed Item
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
Partial differential equations possessing Frobenius integrable decompositions
Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
Solitons and infinite dimensional Lie algebras
Bilinear transformation method
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
Darboux transformations of classical Boussinesq system and its new solutions
Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces.
A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
Complexiton solutions to the Korteweg-de Vries equation
Group theoretical analysis of dispersive long wave equations in two space dimensions
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]
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
Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
On the coherent structures of the Nizhnik-Novikov-Veselov equation
Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
A Higher-Order Water-Wave Equation and the Method for Solving It
N-Soliton Solutions of Model Equations for Shallow Water Waves
Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
Spectral transform for a two spatial dimension extension of the dispersive long wave equation
Darboux transformations via Painlevé analysis
Localized solutions with chaotic and fractal behaviours in a (2+1)-dimensional dispersive long-wave system
Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues
Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces

This page was built for publication: SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION