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A Method for Solving Initial-value Problem and Finding Exact Solutions of Nonlinear Partial Differential Equations

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Czechoslovak Journal of Physics Aims and scope

Abstract

Homogeneous balance method for solving nonlinear partial differential equation(s) is extended to solving initial-value problem and getting new solution(s) from a known solution of the equation(s) under consideration. The approximate equations for long water waves are chosen to illustrate the method, infinitely many simple-solitary-wave solutions and infinitely many rational function solutions, especially the closed form of the solution for initial-value problem, are obtained by using the extended homogeneous balance method given here.

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Authors and Affiliations

  1. Physics Science and Information Engineering School, Liaocheng University, Liaocheng, 252059, China

    Cheng-lin Bai & Hong Zhao

Authors
  1. Cheng-lin Bai
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  2. Hong Zhao
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Bai, Cl., Zhao, H. A Method for Solving Initial-value Problem and Finding Exact Solutions of Nonlinear Partial Differential Equations. Czech J Phys 55, 643–650 (2005). https://doi.org/10.1007/s10582-005-0068-0

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  • DOI: https://doi.org/10.1007/s10582-005-0068-0

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