Four Nonlinear Partial Differential Equations’ Auxiliary Equation Method And Its Exact Solutions | Posted on:2016-10-10 | Degree:Master | Type:Thesis | Country:China | Candidate:P Zhang | Full Text:PDF | GTID:2180330461486612 | Subject:Computational Mathematics | Abstract/Summary: | PDF Full Text Request | In the study of computer algebra and differential equation,to con-struction the exact solution of the nonlinear partial differential equation by the differential equation method is a significant problem.In this paper,Based on the existing auxiliary differential equation and combined with G’/G expansion method and general Riccati equation to build new double auxiliary equation method,three auxiliary equation method and extended three auxiliary equation method,we can gain results as follows:(1)the dispersive wave equation; (2)Sharma - Tasso -Olver equation:(3) general variable coefficient KdV-Burgers equation;(4)(2+1)-dimensional of shallow water wave equation.series of new mixing solutions con-tains multiple function such as:complex function solutions,rational function, trigono-metric function,hyperbolic function are obtained. | Keywords/Search Tags: | Nonlinear partial differential equations, G’/G-expansion method, Generalized Riccati equation, Dual auxiliary equation, Three auxiliary equation, Extended three auxiliary equation, Exact solutions | PDF Full Text Request |
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