Bilinear Form andN-Shock-Wave Solutions for a (2+1)-Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function
From MaRDI portal
Publication:2868620
DOI10.1111/sapm.12012zbMath1277.35298OpenAlexW1512855861MaRDI QIDQ2868620
Min Li, Pan Wang, Yan Jiang, Bo Tian
Publication date: 17 December 2013
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12012
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Classical Banach spaces in the general theory (46B25) Soliton equations (35Q51)
Cites Work
- Unnamed Item
- Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function
- Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
- New exact solutions of the \((2 + 1)\)-dimensional breaking soliton system via an extended mapping method
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
- Symmetry reduction and new non-traveling wave solutions of \((2 + 1)\)-dimensional breaking soliton equation
- Solving the breaking soliton equation by He's variational method
- Symbolic computation in engineering: Application to a breaking soliton equation
- Symbolic computation and construction of soliton-like solutions for a breaking soliton equation.
- Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation
- On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations
- Symbolic computation and construction of soliton-like solutions for a (2+1)-dimensional breaking soliton equation
- Explicit solutions of the \(2+1\)-dimensional breaking soliton equation
- New types of exact solutions for a breaking soliton equation
- New family of overturning soliton solutions for a typical breaking soliton equation
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- Solitary waves in dispersive complex media. Theory, simulation, applications.
- Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation
- Coherently coupled bright optical solitons and their collisions
- On the combinatorics of the HirotaD-operators
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
- Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV–mKdV equation in fluids and plasmas
- Multicomponent coherently coupled and incoherently coupled solitons and their collisions
- Integrability aspects with optical solitons of a generalized variable-coefficient N-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: Bilinear Form andN-Shock-Wave Solutions for a (2+1)-Dimensional Breaking Soliton Equation in Certain Fluids with the Bell Polynomials and Auxiliary Function