Lie symmetry analysis and soliton solutions for complex short pulse equation
Vikas Kumar, Abdul–Majid Wazwaz
Abstract
The current study is dedicated for operating the Lie symmetry approach, to complex short pulse equation. The method reduces the complex short pulse equation to a system of ordinary differential equations with the help of suitable similarity transformations. Consequently, these systems of nonlinear ordinary differential equations under each subalgebras are solved for exact solutions. Further, with the help of similarity variable, similarity solutions and exact solutions of nonlinear ordinary differential equation, soliton solutions of the complex short pulse equation are obtained which are in form of hyperbolic functions and trigonometric functions.
Topics & Concepts
MathematicsOrdinary differential equationExact differential equationPulse (music)Mathematical analysisPartial differential equationHyperbolic functionFirst-order partial differential equationSymmetry (geometry)Nonlinear systemDifferential equationSolitonSimilarity (geometry)Riccati equationTrigonometric functionsPhysicsQuantum mechanicsComputer scienceVoltageGeometryImage (mathematics)Artificial intelligenceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies