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Construction of solitary solution and compacton-like solution by variational iteration method

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Cited by:

  1. Xu, Lan, 2009. "The variational iteration method for fourth order boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1386-1394.
  2. Dehghan, Mehdi & Tatari, Mehdi, 2008. "Identifying an unknown function in a parabolic equation with overspecified data via He’s variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 157-166.
  3. He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
  4. Kuru, S., 2009. "Compactons and kink-like solutions of BBM-like equations by means of factorization," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 626-633.
  5. Yu, Yongguang & Li, Han-Xiong, 2009. "Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2330-2337.
  6. Marinca, Vasile & Herişanu, Nicolae, 2008. "Periodic solutions of Duffing equation with strong non-linearity," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 144-149.
  7. Ali, A.H.A. & Raslan, K.R., 2009. "Variational iteration method for solving partial differential equations with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1520-1529.
  8. Yin, Jiuli & Tian, Lixin, 2009. "Stumpons and fractal-like wave solutions to the Dullin–Gottwald–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 643-648.
  9. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  10. Soliman, A.A., 2009. "On the solution of two-dimensional coupled Burgers’ equations by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1146-1155.
  11. Alvaro H. Salas & Lorenzo J. Martinez H & David L. Ocampo R, 2021. "New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
  12. S. S. Nourazar & M. Habibi Matin & M. Simiari, 2011. "The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
  13. Wang, Shu-Qiang & He, Ji-Huan, 2008. "Nonlinear oscillator with discontinuity by parameter-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 688-691.
  14. Gordoa, P.R., 2007. "A note on solutions of an equation modelling arterial deformation," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1505-1511.
  15. Jun-Mei Li & Yu-Lan Wang & Wei Zhang, 2019. "Numerical Simulation of the Lorenz‐Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
  16. Fukang Yin & Junqiang Song & Xiaoqun Cao & Fengshun Lu, 2013. "Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
  17. Darvishi, M.T. & Khani, F., 2009. "Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2484-2490.
  18. Shu-Li Mei, 2013. "Construction of Target Controllable Image Segmentation Model Based on Homotopy Perturbation Technology," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
  19. Syam, Muhammed I. & Siyyam, Hani I., 2009. "An efficient technique for finding the eigenvalues of fourth-order Sturm–Liouville problems," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 659-665.
  20. Da-Quan, Xian & Zheng-De, Dai, 2009. "Application of Exp-function method to potential Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2653-2659.
  21. Xu, Lan, 2008. "Variational approach to solitons of nonlinear dispersive K(m,n) equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 137-143.
  22. Assas, Laila M.B., 2008. "Variational iteration method for solving coupled-KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1225-1228.
  23. Jules Sadefo-Kamdem, 2011. "Integral Transforms With The Homotopy Perturbation Method And Some Applications," Working Papers hal-00580023, HAL.
  24. H. M. Younas & Muhammad Mustahsan & Tareq Manzoor & Nadeem Salamat & S. Iqbal, 2019. "Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method," Mathematics, MDPI, vol. 7(3), pages 1-19, March.
  25. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
  26. Lu, Junfeng, 2009. "He’s variational iteration method for the modified equal width equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2102-2109.
  27. A. A. Soliman, 2012. "Numerical Simulation of the FitzHugh‐Nagumo Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  28. Yuzhen Chai & Tingting Jia & Huiqin Hao & Jianwen Zhang, 2014. "Exp-Function Method for a Generalized MKdV Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, May.
  29. Odibat, Zaid M., 2009. "Exact solitary solutions for variants of the KdV equations with fractional time derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1264-1270.
  30. Borhanifar, A. & Kabir, M.M. & Maryam Vahdat, L., 2009. "New periodic and soliton wave solutions for the generalized Zakharov system and (2+1)-dimensional Nizhnik–Novikov–Veselov system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1646-1654.
  31. Javidi, M. & Golbabai, A., 2008. "Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 309-313.
  32. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
  33. Soliman, A.A., 2009. "Exact solutions of KdV–Burgers’ equation by Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1034-1039.
  34. Moghimi, Mahdi & Hejazi, Fatemeh S.A., 2007. "Variational iteration method for solving generalized Burger–Fisher and Burger equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1756-1761.
  35. Chun, Changbum, 2007. "Integration using He’s homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1130-1134.
  36. Abey Sherif Kelil & Appanah Rao Appadu, 2022. "On the Numerical Solution of 1D and 2D KdV Equations Using Variational Homotopy Perturbation and Finite Difference Methods," Mathematics, MDPI, vol. 10(23), pages 1-36, November.
  37. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.
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