exact solutions for a generalized kdv-mkdv equation with variable coefficients
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ID: 223451
2016
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Abstract
By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions, and combined Jacobi elliptic function solutions, for the KdV-MKdV equation are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving many other nonlinear partial differential equations with variable coefficients in mathematical physics.
| Reference Key |
tang2016mathematicalexact
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|---|---|
| Authors | ;Bo Tang;Xuemin Wang;Yingzhe Fan;Junfeng Qu |
| Journal | journal of power sources |
| Year | 2016 |
| DOI |
10.1155/2016/5274243
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| URL | |
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