2024-03-212024-03-212017-12-13Yıldırım, Y. ve Yaşar, E. (2018). ''A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws''. Chaos Solitons & Fractals, 107, 146-155.0960-0779https://www.sciencedirect.com/science/article/pii/S0960077917305180https://hdl.handle.net/11452/40547In 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.eninfo:eu-repo/semantics/closedAccessMathematicsPhysics(2+1)-Dimensional breaking soliton equationSymmetry analysisExact solutionsKudryashov's simplest equation methodsOptical soliton solutionConservation lawsNonlinear differential-equationsComputationSymmetriesExamplesPhysical propertiesSolitonsConservation lawExact solutionOptical solitonSimplest equation methodSoliton equationSymmetry analysisLie groupsArticle0004249513000192-s2.0-85040067897146155107https://doi.org/10.1016/j.chaos.2017.12.016Mathematics, interdisciplinary applicationsPhysics, multidisciplinaryPhysics, mathematicalExact Solution; Optical Solitons; (G′/G)-expansion Method1873-2887