ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION
DOI10.1142/S021797921250124XzbMath1270.37047OpenAlexW2162094458MaRDI QIDQ2839963
Xiao-Ge Xu, Chun-Yi Zhang, Xiang-Hua Meng, Yi-Tian Gao
Publication date: 17 July 2013
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021797921250124x
symbolic computationsoliton solutionsHirota bilinear methodLax pairnonlinear superposition formulaCDGKS equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (1)
Cites Work
- Unnamed Item
- Partial differential equations possessing Frobenius integrable decompositions
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- Bilinear forms and Bäcklund transformations of the perturbation systems
- A direct method for deriving a multisoliton solution to the fifth order KdV equation
- 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
- Similarity reductions from extended Painlevé expansions for nonintegrable evolution equations
- Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
- Complexiton solutions to the Korteweg-de Vries equation
- Rational solutions of the Toda lattice equation in Casoratian form
- A modified Bäcklund transformation and multi-soliton solution for the Boussinesq equation
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Extended tanh-function method and its applications to nonlinear equations
- Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
- Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
- The Painlevé property for partial differential equations
- The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
- Constraints of the 2+1 dimensional integrable soliton systems
- A new hierarchy of Korteweg–de Vries equations
- Third order spectral problems: reductions and Darboux transformations
- Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- A bidirectional Kaup–Kupershmidt equation and directionally dependent solitons
This page was built for publication: ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION
