A note on the elliptic equation method |
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| Institution: | 1. Department of Physics, Alagappa Chettiar Government College of Engineering & Technology, Karaikudi, Tamilnadu 630 004, India;2. Department of Physics, St. John’s College, Palayamkottai, Tamilnadu 627 002, India;3. Department of Physics, The M.D.T Hindu College, Tirunelveli, Tamilnadu 627 010, India |
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| Abstract: | The elliptic equation method is improved for constructing exact travelling wave solutions of nonlinear partial differential equations (PDEs). The rational forms of Jacobi elliptic functions are presented. By using new Jacobi elliptic function solutions of the elliptic equation, new doubly periodic solutions are obtained for some important PDEs. This method can be applied to many other nonlinear PDEs. |
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