New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method
In this paper, a generalized mapping method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. Firstly, some new solutions of an auxiliary ordinary differential equation are introduced. They are then used to generate new exact solutions for the...
| Main Authors: | Hu, Xuegang, Wu, Yong Hong, Ling, Li |
|---|---|
| Format: | Journal Article |
| Published: |
World Academic Publishing
2013
|
| Online Access: | http://hdl.handle.net/20.500.11937/48324 |
Similar Items
All traveling wave exact solutions of the variant Boussinesq equations
by: Yuan, W., et al.
Published: (2015)
by: Yuan, W., et al.
Published: (2015)
On the Cauchy problem for a generalized Boussinesq equation
by: Lin, Qun, et al.
Published: (2009)
by: Lin, Qun, et al.
Published: (2009)
Solitary wave solutions of the boussinesq equation and its improved form
by: Abazari, Reza, et al.
Published: (2013)
by: Abazari, Reza, et al.
Published: (2013)
The general traveling wave solutions of the Fisher type equations and some related problems
by: Yuan, W., et al.
Published: (2014)
by: Yuan, W., et al.
Published: (2014)
The well-posedness and solutions of Boussinesq-type equations
by: Lin, Qun
Published: (2009)
by: Lin, Qun
Published: (2009)
Linear B-spline finite element method for the improved Boussinesq equation
by: Lin, Qun, et al.
Published: (2008)
by: Lin, Qun, et al.
Published: (2008)
Travelling wave solution to a generalized Kuramoto-Sivashinsky equation
by: Mohamad, Mohd. Nor
Published: (1991)
by: Mohamad, Mohd. Nor
Published: (1991)
A study of the boussinesq equation as a wave propagation in shallow water
by: Isa, Mukheta, et al.
Published: (2005)
by: Isa, Mukheta, et al.
Published: (2005)
Analysis of a new variational model for image multiplicative denoising
by: Hu, Xuegang, et al.
Published: (2013)
by: Hu, Xuegang, et al.
Published: (2013)
All traveling wave exact solutions of two kinds of nonlinear evolution equations
by: Huang, Y., et al.
Published: (2014)
by: Huang, Y., et al.
Published: (2014)
The study of global weak solutions for a generalized hyperelastic-rod wave equation
by: Lai, S., et al.
Published: (2013)
by: Lai, S., et al.
Published: (2013)
A generalized expansion method for nonlinear wave equations
by: Lin, Qun, et al.
Published: (2009)
by: Lin, Qun, et al.
Published: (2009)
All traveling wave exact solutions of three kinds of nonlinear evolution equations
by: Meng, F., et al.
Published: (2015)
by: Meng, F., et al.
Published: (2015)
New Traveling Wave Solutions For Some Nonlinear Fractional Differential Equations By Extensions Of Basic
by: Ali Al-Shawba, Altaf Abdulkarem
Published: (2022)
by: Ali Al-Shawba, Altaf Abdulkarem
Published: (2022)
The long time behaviour of solutions for an improved Boussinesq system
by: Guo, Y., et al.
Published: (2010)
by: Guo, Y., et al.
Published: (2010)
All exact traveling wave solutions of the combined KdV-mKdV equation
by: Huang, Y., et al.
Published: (2014)
by: Huang, Y., et al.
Published: (2014)
Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation
by: LI, R., et al.
Published: (2018)
by: LI, R., et al.
Published: (2018)
The existence of weak solutions for a generalized Camassa-Holm equation
by: Lai, S., et al.
Published: (2011)
by: Lai, S., et al.
Published: (2011)
A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution
by: Aruchunan, E., et al.
Published: (2016)
by: Aruchunan, E., et al.
Published: (2016)
Instability of Standing Wave for the Klein–Gordon–Hartree Equation
by: Li, X., et al.
Published: (2014)
by: Li, X., et al.
Published: (2014)
New fields expressions of a traveling wave circular loop antenna
by: Hamed , Sameir M.Ali, et al.
Published: (2013)
by: Hamed , Sameir M.Ali, et al.
Published: (2013)
Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level
by: Sun, F., et al.
Published: (2018)
by: Sun, F., et al.
Published: (2018)
Stability of standing waves for the Klein–Gordon–Hartree equation
by: Zhang, J., et al.
Published: (2015)
by: Zhang, J., et al.
Published: (2015)
Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations
by: He, J., et al.
Published: (2018)
by: He, J., et al.
Published: (2018)
Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
by: Abas, Siti Sabariah
Published: (2016)
by: Abas, Siti Sabariah
Published: (2016)
New simultaneous Diophantine attacks on generalized RSA key equations
by: Ruzai, Wan Nur Aqlili, et al.
Published: (2024)
by: Ruzai, Wan Nur Aqlili, et al.
Published: (2024)
New religious travel segment
by: Siti Atikah, R. *, et al.
Published: (2021)
by: Siti Atikah, R. *, et al.
Published: (2021)
The existence of global strong and weak solutions for the Novikov equation
by: Lai, Shaoyong, et al.
Published: (2013)
by: Lai, Shaoyong, et al.
Published: (2013)
A New Viscosity Equation For Bin Aqueous Solutions.
by: Tan, C. S., et al.
Published: (2004)
by: Tan, C. S., et al.
Published: (2004)
Soliton solutions to phi-four and strain wave equation through the exp -expansion method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
On weak solutions to a shallow water wave model of moderate amplitude
by: Guo, Y., et al.
Published: (2015)
by: Guo, Y., et al.
Published: (2015)
Performance mapping of a two-stage travelling wave thermoacoustic engine for heat recovery
by: Goh, Jenn Hsen
Published: (2019)
by: Goh, Jenn Hsen
Published: (2019)
Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Li, H., et al.
Published: (2015)
by: Li, H., et al.
Published: (2015)
Numerical solution of helmholtz equation using a new four point EGMSOR iterative method.
by: Md. Akhir, Mohd Kamarulzaman, et al.
Published: (2011)
by: Md. Akhir, Mohd Kamarulzaman, et al.
Published: (2011)
On the general solution of first-kind hypersingular integral equations
by: Obaiys, Suzan Jabbar, et al.
Published: (2016)
by: Obaiys, Suzan Jabbar, et al.
Published: (2016)
Particle manipulation by adhere method as travelling surface acoustic wave
by: Nor Halim, Nur Amiera
Published: (2021)
by: Nor Halim, Nur Amiera
Published: (2021)
On functional equations leading to exact solutions for standing internal waves
by: Beckebanze, F., et al.
Published: (2016)
by: Beckebanze, F., et al.
Published: (2016)
Solitary wave-series solutions to non-linear Schrodinger equations
by: Azram, Mohammad, et al.
Published: (2012)
by: Azram, Mohammad, et al.
Published: (2012)
Positive solutions for a nonlocal fractional differential equation
by: Wang, Y., et al.
Published: (2011)
by: Wang, Y., et al.
Published: (2011)
The iterative solutions of nonlinear fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2013)
by: Zhang, Xinguang, et al.
Published: (2013)
Similar Items
-
All traveling wave exact solutions of the variant Boussinesq equations
by: Yuan, W., et al.
Published: (2015) -
On the Cauchy problem for a generalized Boussinesq equation
by: Lin, Qun, et al.
Published: (2009) -
Solitary wave solutions of the boussinesq equation and its improved form
by: Abazari, Reza, et al.
Published: (2013) -
The general traveling wave solutions of the Fisher type equations and some related problems
by: Yuan, W., et al.
Published: (2014) -
The well-posedness and solutions of Boussinesq-type equations
by: Lin, Qun
Published: (2009)