International Journal of Mathematics and Computer in Engineering · 2023 · 52 citations · 49 references
Natural SciencesMathematicsPhysicsComputational MechanicsDifferential EquationsFluid DynamicsBoundary ConditionsMode ShapesNumerical Methods For Differential EquationsPartial Differential EquationsWave FunctionsSine-gordon EquationStrain TransferTraveling Wave SolutionsWave Equation ExpansionsWave Equations
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.
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