New Auxiliary Equation Method for Solving the KdV Equation

PANG Jing; BIAN Chun-quan; CHAO Lu

doi:10.3879/j.issn.1000-0887.2010.07.014

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PANG Jing, BIAN Chun-quan, CHAO Lu. New Auxiliary Equation Method for Solving the KdV Equation[J]. Applied Mathematics and Mechanics, 2010, 31(7): 884-890. doi: 10.3879/j.issn.1000-0887.2010.07.014

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PANG Jing, BIAN Chun-quan, CHAO Lu. New Auxiliary Equation Method for Solving the KdV Equation[J]. Applied Mathematics and Mechanics, 2010, 31(7): 884-890. doi: 10.3879/j.issn.1000-0887.2010.07.014

Citation:

PANG Jing, BIAN Chun-quan, CHAO Lu. New Auxiliary Equation Method for Solving the KdV Equation[J]. Applied Mathematics and Mechanics, 2010, 31(7): 884-890. doi: 10.3879/j.issn.1000-0887.2010.07.014

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New Auxiliary Equation Method for Solving the KdV Equation

doi: 10.3879/j.issn.1000-0887.2010.07.014

1.
College of Science, Inner Mongolia University of Technology, Hohhot 010051, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-05-05
Publish Date: 2010-07-15

Abstract

Abstract

A new auxiliary equation method was used to find exact travelling wave solutions to the (1+1)-dmiensional KdV equation. Some exact travelling wave solutions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics.
- auxiliary equation method,
- travelling wave solution,
- KdV equation,
- homogeneous balance method

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References(21)

References

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