On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: multiple \(\exp\)-function method
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Publication:1637401
DOI10.1515/jaa-2018-0003zbMath1388.35012OpenAlexW2802845407MaRDI QIDQ1637401
Publication date: 8 June 2018
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jaa-2018-0003
KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)
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Uses Software
Cites Work
- Unnamed Item
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Symbolic computation of local symmetries of nonlinear and linear partial and ordinary differential equations
- GeM software package for computation of symmetries and conservation laws of differential equations
- The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations
- Exact periodic wave solutions for some nonlinear partial differential equations
- Computation of fluxes of conservation laws
- On exact solutions of the coupled Klein--Gordon--Schrödinger and the complex coupled KdV equations using mapping method
- A simple transformation for nonlinear waves.
- Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Soliton-like solutions to the GKdV equation by extended mapping method
- A new extended Riccati equation rational expansion method and its application
- Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
- A multiple exp-function method for nonlinear differential equations and its application
- A New (2 + 1)-Dimensional KdV Equation and Its Localized Structures
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A (2+1)-dimensional Korteweg–de Vries type equation in water waves: Lie symmetry analysis; multiple exp-function method; conservation laws
- Symmetries and differential equations
