Alam Md Nur, Akbar M Ali, Roshid Harun-Or-
Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh.
Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
Springerplus. 2014 Jan 23;3:43. doi: 10.1186/2193-1801-3-43. eCollection 2014.
Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized (G'/G)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized (G'/G)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations in mathematical physics and engineering.
05.45.Yv, 02.30.Jr, 02.30.Ik.
非线性演化方程（NLEEs）的精确解对于揭示复杂物理现象的内部机制起着至关重要的作用。在这项工作中，利用新的广义(G'/G)展开法研究了Boussinesq方程的精确行波解。通过该方法成功获得了大量含任意参数的行波解，这些波解以双曲函数、三角函数和有理函数表示。结果表明，广义(G'/G)展开法的新方法是求解数学物理和工程中非线性偏微分方程的一种强大而简洁的数学工具。
05.45.Yv，02.30.Jr，02.30.Ik。
