On the complex properties of the first equation of the Kadomtsev-Petviashvili hierarchy
Seenith Sivasundaram, Ajay Kumar, Ratnesh K. Singh
Abstract
Abstract This work studies the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the governing model. RSGEM is the developed version of SGEM. New complex travelling wave solutions, logarithmic and complex function properties are obtained. Several simulations such as 2D, 3D and contour surfaces of the obtained results are plotted. Physical meanings of these solutions are also reported. Strain conditions are also extracted.
Topics & Concepts
Kadomtsev–Petviashvili equationHierarchyLogarithmRational functionMathematicsTraveling waveSineMathematical analysisFunction (biology)Pure mathematicsGeometryCharacteristic equationPartial differential equationMarket economyEvolutionary biologyEconomicsBiologyNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions