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Trial Equation Method for Solving the Improved Boussinesq Equation
Department of Mathematics, Northeast Petroleum University, Daqing, China
- 1 Department of Mathematics, Northeast Petroleum University, Daqing, China
Advances in Pure Mathematics·Volume 04 (2014)·Pages 47–52·Published 24 February 2014·DOI10.4236/apm.2014.42007
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Abstract
Trial equation method is a powerful tool for obtaining exact solutions of nonlinear differential equations. In this paper, the improved Boussinesq is reduced to an ordinary differential equation under the travelling wave transformation. Trial equation method and the theory of complete discrimination system for polynomial are used to establish exact solutions of the improved Boussinesq equation.
KeywordsThe Nonlinear Partial Differential EquationComplete Discrimination System for PolynomialTrial Equation MethodTraveling Wave TransformThe Improved Boussinesq Equation
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