Abstract | ||
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Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures. |
Year | DOI | Venue |
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2005 | 10.1016/j.amc.2003.08.053 | Applied Mathematics and Computation |
Keywords | Field | DocType |
projective riccati equation method,shallow long wave approximate equation,exact solutions,exact solution,riccati equation | Exact solutions in general relativity,Soliton,Boundary value problem,Nonlinear system,Mathematical analysis,Riccati equation,Wave equation,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
160 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
4 | 1.40 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Qi Wang | 1 | 11 | 3.74 |
Yong Chen | 2 | 34 | 10.54 |
Biao Li | 3 | 48 | 15.36 |
Hongqing Zhang | 4 | 138 | 48.35 |