Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation
Israr Ahmad, Abdul Jalil, Aman Ullah, Shabir Ahmad, Manuel De la Sen
Abstract
Exact solutions of nonlinear equations have got formidable attraction of researchers because these solutions demonstrate the physical behaviour of a model. In this paper, we focus on extracting some new exact solutions of a (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili (DSKP) equation. To find new travelling wave solutions of the DSKP equation, we use (G′G′+G+A)-expansion technique. The obtained solutions are in the form of the exponential and trigonometric functions. We obtain different kinds of waves solutions for specific values of parameters. We simulate the achieved solutions in 3D and 2D plots.
Topics & Concepts
Kadomtsev–Petviashvili equationMathematicsExponential functionTraveling waveTrigonometryMathematical analysisFocus (optics)Nonlinear systemTrigonometric functionsApplied mathematicsBurgers' equationPartial differential equationPhysicsGeometryQuantum mechanicsOpticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models