Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations

We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limit forms for the KdV-like equation 𝑢𝑡

[1]  Ming Li,et al.  Exact Solution of Impulse Response to a Class of Fractional Oscillators and Its Stability , 2011 .

[2]  Engui Fan,et al.  Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method , 2002 .

[3]  Jie-Fang Zhang,et al.  Simple Soliton Solution Method for the Combined KdV and MKdV Equation , 2000 .

[4]  Zheng-rong Liu,et al.  A note on solitary waves for modified forms of Camassa–Holm and Degasperis–Procesi equations , 2007 .

[5]  Wang Ruiqi,et al.  Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity , 2002 .

[6]  Davood Domiri Ganji,et al.  Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations , 2007 .

[7]  Zhang Weiguo,et al.  Explicit solitary-wave solutions to generalized Pochhammer-Chree equations , 1999 .

[8]  Lijun Zhang,et al.  Bifurcations of traveling wave solutions in generalized Pochhammer–Chree equation , 2002 .

[9]  Min-ying Tang,et al.  New explicit periodic wave solutions and their limits for modified form of Camassa-holm equation , 2010 .

[10]  Jibin Li.  Exact traveling wave solutions and dynamical behavior for the (n + 1)-dimensional multiple sine-Gordon equation , 2007 .

[11]  R. Grimshaw,et al.  Generation of large-amplitude solitons in the extended Korteweg-de Vries equation. , 2002, Chaos.

[12]  Rui Liu.  Some new results on explicit traveling wave solutions of $K(m, n)$ equation , 2010 .

[13]  Bishwajyoti Dey,et al.  K-dV Like Equations with Domain Wall Solutions and Their Hamiltonians , 1988 .

[14]  Carlo Cattani,et al.  Application of Periodized Harmonic Wavelets towards Solution of Eigenvalue Problems for Integral Equations , 2010 .

[15]  Rui Liu.  SEVERAL NEW TYPES OF SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED CAMASSA-HOLM-DEGASPERIS-PROCESI EQUATION , 2009 .

[16]  K. Chow,et al.  Interactions of breathers and solitons in the extended Korteweg–de Vries equation , 2005 .

[17]  Min-ying Tang,et al.  Four types of bounded wave solutions of CH-γ equation , 2007 .

[18]  Jie-Fang Zhang,et al.  New Solitary Wave Solution of the Combined KdV and mKdV Equation , 1998 .

[19]  Carlo Cattani,et al.  Complexity on Acute Myeloid Leukemia mRNA Transcript Variant , 2011 .

[20]  Bishwajyoti Dey,et al.  DOMAIN WALL SOLUTIONS OF KdV LIKE EQUATIONS WITH HIGHER ORDER NONLINEARITY , 1986 .

[21]  Emmanuel Yomba,et al.  The extended Fan's sub-equation method and its application to KdV¿MKdV, BKK and variant Boussinesq equations , 2005 .

[22]  Zhongjie Wang,et al.  Improved Generalized Belief Propagation for Vision Processing , 2011 .

[23]  Jun Yu,et al.  Exact solitary wave solutions to a combined KdV and mKdV equation , 2000 .

[24]  E. Fan,et al.  Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics , 2003 .

[25]  Ezzat G. Bakhoum,et al.  Specific Mathematical Aspects of Dynamics Generated by Coherence Functions , 2011 .

[26]  Dogan Kaya,et al.  The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation , 2006 .

[27]  Ming Li.  Fractal Time Series—A Tutorial Review , 2010 .

[28]  Ezzat G. Bakhoum,et al.  Mathematical Transform of Traveling-Wave Equations and Phase Aspects of Quantum Interaction , 2010 .

[29]  Dogan Kaya,et al.  A numerical application of the decomposition method for the combined KdV-MKdV equation , 2005, Appl. Math. Comput..

[30]  Yan-ze Peng.  New Exact Solutions to the Combined KdV and mKdV Equation , 2003 .