A mathematical technique based oil all auxiliary differential equation and the symbolic Computation system Maple is employed to investigate a prototypical and nonlinear K(n,n) equation with variable coefficients. The exact solutions to the equation are constructed analytically under various circumstances. It is shown that the variable coefficients and the exponent appearing in the equation determine the quantitative change in the physical structures of the solutions. (C) 2007 Elsevier Ltd. All rights reserved.
机构:
Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China
Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R ChinaChinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China
机构:
Nanjing Inst Technol, Fac Math Phys, Hongjing Ave, Nanjing 211167, Jiangsu, Peoples R ChinaNanjing Inst Technol, Fac Math Phys, Hongjing Ave, Nanjing 211167, Jiangsu, Peoples R China