2015 · 14 citations · 18 references
Natural SciencesMathematicsComputational PhysicsDifferential EquationsDynamical SystemsIntegral Equation FormulationsIntegral EquationsNonlinear DynamicsPartial Differential EquationsSystems Of Differential EquationsTime IntegrationNonlinear Dynamical SystemsNonlinear Partial Differential EquationsReal-world ApplicationReal-world Mathematical ApplicationsTime-varying CoefficientsTransformationsTraveling Wave SolutionsWave Equations
The first integral method is used to construct traveling wave solutions of Wu-Zhang nonlinear dynamical system with time-dependent coefficients. We obtained different types of exact solutions by using two types of variable transformations. The method is an effective tool to construct the different types of exact solutions of nonlinear partial differential equations having real world applications.
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