scholarly journals Seismic wave propagation in nonlinear viscoelastic media using the auxiliary differential equation method

2018 ◽  
Vol 216 (1) ◽  
pp. 453-469
Author(s):  
Roland Martin ◽  
Ludovic Bodet ◽  
Vincent Tournat ◽  
Fayçal Rejiba
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Seismic Wave ◽  
Seismic Wave Propagation ◽  
Equation Method ◽  
Viscoelastic Media ◽  
Nonlinear Viscoelastic ◽  
Auxiliary Differential Equation Method ◽  
Differential Equation Method

Simulating Seismic Wave Propagation in Viscoelastic Media with an Irregular Free Surface

2018 ◽  
Vol 175 (10) ◽  
pp. 3419-3439 ◽  
Author(s):  
Xiaobo Liu ◽  
Jingyi Chen ◽  
Zhencong Zhao ◽  
Haiqiang Lan ◽  
Fuping Liu
Keyword(s):  
Wave Propagation ◽  
Free Surface ◽  
Seismic Wave ◽  
Seismic Wave Propagation ◽  
Viscoelastic Media ◽  
Irregular Free Surface

Modified Auxiliary Differential Equation Method and Exact Solutions Generalized Schrödinger

2014 ◽  
Vol 513-517 ◽  
pp. 4470-4473 ◽  
Author(s):  
Lin Tian ◽  
Yu Ping Qin
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Exact Solutions ◽  
Nonlinear Partial Differential Equations ◽  
Equation Method ◽  
Hyperbolic Function ◽  
Hyperbolic Function Solutions ◽  
Trigonometric Solution ◽  
Auxiliary Differential Equation Method ◽  
Differential Equation Method

This paper describes a method on which modify auxiliary differential equation method by using this method for solving nonlinear partial differential equations and with aid of Maple Software ,we get the exact solution of the generalized schrödinger, including hyperbolic function solutions, trigonometric solution.

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