New exact solutions of some nonlinear systems of partial differential equations using the first integral method (Q370136)
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scientific article; zbMATH DE number 6209403
| Language | Label | Description | Also known as |
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| English | New exact solutions of some nonlinear systems of partial differential equations using the first integral method |
scientific article; zbMATH DE number 6209403 |
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New exact solutions of some nonlinear systems of partial differential equations using the first integral method (English)
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19 September 2013
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Summary: The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), \((2 + 1)\)-dimensional Davey-Stewartson system, and generalized Hirota-Satsuma coupled KdV system. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner. This method can also be applied to nonintegrable equations as well as integrable ones.
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