Direct Approach for Kink Solution of Ф - 4 Equation Under Perturbation
TANG Yi1, YAN Jia-ren2, CHEN Zhen-hua2
1Department of Physics, Inner Mongolia University, Huhehaote 010021
Department of Physics, Hu’nan Normal University, Changsha 410081
2Department of Physics, Hu’nan Normal University, Changsha 410081
3Institute of Nonequilibrium Materials, Center-South University of Technology, Changsha 410083
Direct Approach for Kink Solution of Ф - 4 Equation Under Perturbation
TANG Yi1;YAN Jia-ren2;CHEN Zhen-hua2
1Department of Physics, Inner Mongolia University, Huhehaote 010021
Department of Physics, Hu’nan Normal University, Changsha 410081
2Department of Physics, Hu’nan Normal University, Changsha 410081
3Institute of Nonequilibrium Materials, Center-South University of Technology, Changsha 410083
Abstract： Perturbations about kink solution of Ф- 4 equation are investigated by a direct approach which was recently developed in a study of soliton perturbation theory. In this scheme, the derivative expansion method from classical perturbation theory is employed to linearize the perturbed equation. The solution of the linearized equation for first-order correction is derived by the method of Laplace transformation. At the same time, the parameters variation is obtained directly from the secularity conditions.
TANG Yi;YAN Jia-ren;CHEN Zhen-hua. Direct Approach for Kink Solution of Ф - 4 Equation Under Perturbation[J]. 中国物理快报, 1997, 14(11): 845-849.
TANG Yi, YAN Jia-ren, CHEN Zhen-hua. Direct Approach for Kink Solution of Ф - 4 Equation Under Perturbation. Chin. Phys. Lett., 1997, 14(11): 845-849.
1997, Vol. 14 
