Soliton solutions of KD system using similarity transformations method
暂无分享,去创建一个
[1] Huang Han-wei,et al. Finite symmetry transformation group of the Konopelchenko?Dubrovsky equation from its Lax pair , 2012 .
[2] Raj Kumar,et al. On similarity solutions of Zabolotskaya-Khokhlov equation , 2014, Comput. Math. Appl..
[3] Ying Zhang,et al. Localized excitations in (2+1)-dimensional systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] Invariance of the nonlinear generalized NLS equation under the Lie group of scaling transformations , 2015 .
[5] Raj Kumar,et al. Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory , 2016, Comput. Math. Appl..
[6] S. Lou,et al. Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko–Dubrovsky Equation , 2013 .
[7] Hongyan Zhi. Symmetry reductions of the Lax pair for the 2 + 1-dimensional Konopelchenko-Dubrovsky equation , 2009, Appl. Math. Comput..
[8] Solutions of Konopelchenko-Dubrovsky Equation by Traveling Wave Hypothesis and Lie Symmetry Approach , 2014 .
[9] N. Taghizadeh,et al. Exact Travelling Wave Solutions for Konopelchenko-Dubrovsky Equation by the First Integral Method , 2011 .
[10] Chen Yong,et al. Finite Symmetry Transformation Groups and Exact Solutions of Konopelchenko-Dubrovsky Equation ∗ , 2009 .
[11] Mukesh Kumar,et al. On some new exact solutions of incompressible steady state Navier-Stokes equations , 2014 .
[12] Yi-Tian Gao,et al. Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended (2+1)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics , 2011, Appl. Math. Comput..
[13] Zhang Sheng,et al. Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equations , 2007 .
[14] P. Olver. Applications of lie groups to differential equations , 1986 .
[15] Hongqing Zhang,et al. New exact solutions for the Konopelchenko-Dubrovsky equation using an extended Riccati equation rational expansion method and symbolic computation , 2007, Appl. Math. Comput..
[16] On New Similarity Solutions of the Boiti?Leon?Pempinelli System , 2014 .
[17] Boris Konopelchenko,et al. Some new integrable nonlinear evolution equations in 2 + 1 dimensions , 1984 .
[18] Some More Solutions of Burgers' Equation , 2015 .
[19] Hongqing Zhang,et al. Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations , 2008, Appl. Math. Comput..
[20] J. Cole,et al. Similarity methods for differential equations , 1974 .
[21] Tian-lan He. Bifurcation of traveling wave solutions of (2 + 1) dimensional Konopelchenko-Dubrovsky equations , 2008, Appl. Math. Comput..
[22] Jun-min Wang,et al. Quasi-periodic wave solutions for the (2+1) -dimensional generalized Calogero–Bogoyavlenskii–Schiff (CBS) equation , 2012 .
[23] Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation , 2008 .
[24] Abdul-Majid Wazwaz,et al. New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko-Dubrovsky equation , 2007, Math. Comput. Model..
[25] M. A. Abdou. Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method , 2008 .
[26] Deng-Shan Wang,et al. Further improved F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equation , 2005 .
[27] Chang Lin,et al. Explicit exact solutions for the (2 + 1)-dimensional Konopelchenko-Dubrovsky equation , 2009, Appl. Math. Comput..
[28] Yi-Tian Gao,et al. Painlevé Analysis, Soliton Solutions and Bäcklund Transformation for Extended (2 + 1)-Dimensional Konopelchenko—Dubrovsky Equations in Fluid Mechanics via Symbolic Computation , 2011 .
[29] G. Bluman,et al. Symmetries and differential equations , 1989 .
[30] Wang Kelin,et al. Multi-soliton Solutions of the Konopelchenko-Dubrovsky Equation , 2001 .
[31] Alvaro H. Salas. Construction of N-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations , 2011, Appl. Math. Comput..
[32] Zhang Sheng,et al. The periodic wave solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equations , 2006 .
[33] Xin Zeng,et al. A new mapping method and its applications to nonlinear partial differential equations , 2008 .
[34] Zhi Hongyan. Lie point symmetry and some new soliton-like solutions of the Konopelchenko-Dubrovsky equations , 2008, Appl. Math. Comput..
[35] Yang Wang,et al. New exact solutions to the ( 2+1) -dimensional Konopelchenko–Dubrovsky equation , 2010 .
[36] Sheng Zhang,et al. A generalized F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equations , 2006, Appl. Math. Comput..
[37] Raj Kumar,et al. Some more similarity solutions of the (2+1)-dimensional BLP system , 2015, Comput. Math. Appl..
[38] Sheng Zhang. Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2 + 1)-dimensional Konopelchenko-Dubrovsky equations , 2010, Appl. Math. Comput..