TY - JOUR A2 - Wang, Baolin AU - Guo, Peng AU - Wu, Xiang AU - Wang, Liangbi PY - 2014 DA - 2014/09/01 TI - New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation SP - 495125 VL - 2014 AB - The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave solutions, Jacobian elliptic function solutions, and Weierstrass elliptic function solutions. The method can be used in further works to establish more entirely new solutions forother kinds of nonlinear evolution equations arising in physics. SN - 1110-757X UR - https://doi.org/10.1155/2014/495125 DO - 10.1155/2014/495125 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -