2009 · 12 citations · 10 references
Natural SciencesMathematicsPhysicsComputational PhysicsDifferential EquationsDynamical SystemsNonlinear DynamicsPartial Differential EquationsNonlinear EvolutionSymbolic ComputationTraveling Wave SolutionsWave Equation ExpansionsWave EquationsZakharov Equation
An extended F-expansion method with a computerized symbolic computation for constructing a new exact travelling wave solutions for generalized Zakharov equations with arbitrary power nonlinearitie.As a result, many exact travelling wave solutions are obtained which include new periodic wave solution,trigonometric function solutions and rational solu- tions.The method is straightforward and concise,and it can also be applied to other nonlinear evolution equations arising in mathematical physics. It is worthwhile to mention that the method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in physics.
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Exp-function method for nonlinear wave equations
Ji‐Huan He, Xuhong Wu · Chaos Solitons & Fractals · 2006 · 2K citations