Application of homotopy perturbation method to nonlinear wave equations

By Ji-Huan He. 2005

1,323 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/449c80cd9e77871221707839c45a7f6c4eaeda3b

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In Modeling and Simulation

1. Jafar Biazar
2. H. Ghazvini
3. D. Domiri Ganji
4. Behzad Ghanbari
5. Hossein Aminikhah
6. A. Sadighi
7. Z. Z. Ganji
8. Mostafa Eslami

In Numerical Analysis

1. Behzad Ghanbari
2. A. Sadighi
3. Ahmad Golbabai
4. Mohammad Masoud Javidi
5. Z. Z. Ganji
6. Jafar Biazar
7. D. Domiri Ganji
8. H. Bararnia

In Statistical and Nonlinear Physics

1. Jafar Biazar
2. Mohammad Masoud Javidi
3. Ahmad Golbabai
4. A. Sadighi
5. Behzad Ghanbari
6. Z. Z. Ganji
7. D. Domiri Ganji
8. H. Ghazvini

Citations in the corpus

• SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS USING HE'S HOMOTOPY PERTURBATION METHOD (2008, neutral): “…coupled KdV partial differential equation [12], nonlinear boundary value problems [22], traveling wave solutions of nonlinear wave equations [21], Nonlinear convective-radiative cooling equation, nonlinear heat equation (porous media equation) and nonlinear heat equation with cubic…”
• Exp-function method for nonlinear wave equations (2006, neutral): “Recently many new approaches to nonlinear wave equations have been proposed, for example, tanh-function method [1–6], F-expansion method [7–9], Jacobian elliptic function method [10–12], variational iteration method [13,14], Adomian method [15–18], variational approach [19–21], and homotopy perturba”
• A new domain decomposition algorithm for generalized Burger’s–Huxley equation based on Chebyshev polynomials and preconditioning (2009, methodology): “Recently various powerful mathematical methods such as homotopy perturbation method [6–8], variational iteration method [9–18], Exp-function method [19,20], F-expansion method [21], and others [22,23] have been proposed to obtain exact and approximate analytic solutions for nonlinear problems in par”
• On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method (2011, methodology): “(2) (He, 1999; He, 2005; Yildirim, 2009; He, 2006; He, 2006; He, 2006; He, 2005; He, 1998; He, 1998; He, 1999; He, 1999; He, 2000; He, 2006; He, 2005; He, 2005; He, 2005; Koçak et al., 2011).”