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Extended Hyperbola Function Method and Its Application to Nonlinear Equations |
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| Authors: | HUANG Ding-Jiang ZHANG Hong-Qing |
| Abstract: | An extended hyperbola function method is proposed to construct exact solitary wave solutions to nonlinear wave equation based upon a coupled Riccati equation. It is shown that more new solitary wave solutions can be found by this new method, which include kink-shaped soliton solutions, bell-shaped soliton solutions and new solitary wave.The new method can be applied to other nonlinear equations in mathematical physics. |
| Keywords: | nonlinear wave equations exact solitary wave solution hyperbola function method |
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