[1]WANG Xia,Wang Shubin.A new soliton solution and periodic solution of a nonlinear dispersion-dissipation equation[J].Journal of Zhengzhou University (Engineering Science),2002,23(03):41-43.[doi:10.3969/j.issn.1671-6833.2002.03.011]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
23卷
Number of periods:
2002年03期
Page number:
41-43
Column:
Public date:
1900-01-01
- Title:
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A new soliton solution and periodic solution of a nonlinear dispersion-dissipation equation
- Author(s):
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WANG Xia; Wang Shubin
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- Keywords:
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- CLC:
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- DOI:
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10.3969/j.issn.1671-6833.2002.03.011
- Abstract:
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The truncation auxiliary function method for finding the accurate solution of nonlinear partial differential equations is briefly introduced, which is concise and effective. Using the truncation auxiliary function method, with the help of the computer algebra system Mathematica, a new nonlinear dispersion-dissipation equation for describing the evolution of ionic weak nonlinear ion acoustic waves composed of cold ions and hot electrons is obtained, and new soliton solutions, periodic solutions and several sets of steady-state solutions are obtained. These solutions contain arbitrary constants, and when any constant takes a specific value, the computer algebra system Mathematica gives a graph of the partial solution.