A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws
Date
2017-12-13
Authors
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Publisher
Pergamon-Elsevier Science
Abstract
In this paper, we consider a (2+1)-dimensional breaking soliton equation which describe the (2+1)dimensional interaction of the Riemann wave propagating along the y-axis with a long wave along the x-axis. By the Lie group analysis, the Lie point symmetry generators and symmetry reductions were deduced. From the viewpoint of exact solutions, we have performed two distinct methods to the equation for getting some exact solutions. Kudryashov's simplest methods and ansatz method with the assistance of Maple were carried out. The local conservation laws are also constructed by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.
Description
Keywords
Mathematics, Physics, (2+1)-Dimensional breaking soliton equation, Symmetry analysis, Exact solutions, Kudryashov's simplest equation methods, Optical soliton solution, Conservation laws, Nonlinear differential-equations, Computation, Symmetries, Examples, Physical properties, Solitons, Conservation law, Exact solution, Optical soliton, Simplest equation method, Soliton equation, Symmetry analysis, Lie groups
Citation
Yıldırım, Y. ve Yaşar, E. (2018). ''A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws''. Chaos Solitons & Fractals, 107, 146-155.