Yan Zhenya;Zhang Hongqing . ON A NEW ALGORITHM OF CONSTRUCTING SOLITARY WAVE SOLUTIONS FOR SYSTEMS OF NONLINEAR EVOLU-TION EQUATIONS IN MATHEMATICAL PHYSICS. Applied Mathematics and Mechanics (English Edition), 2000, 21(4): 383-388.
[1] Yan C T.A simple transf ormation for nonlinear waves[J]. Phys Lett A,1996,224(1):77~84. [2] Wu W.On zeros of algebraic equations[J]. Chinese Science Bulletin,1986,31(1):1~5. [3] Wu W.Polynomial equations,solving and applications[A]. In:Du Dingzhu,Ed.Algorithm and Computation[C]. New York:Springer-Verlag,1994,1~6. [4] Whitham G B.Variational methods and applications to water waves[J]. Proc Roy Soc London Ser A,1967,229(1):6~25. [5] Broer L T F.Approximate equations for long water waves[J]. Appl Sci Res,1975,31(5):377~395. [6] Kupershmidt B A.Mathematics of dispersive waves[J]. Comm Math Phys,1985,99(1):51~73. [7] Fan Engui,Zhang Hongqing.Backlund transformation and exact solutions f or Whitham-Broer-Kaup equations in shallow water[J]. Applied Mathematics and Mechanics(English Ed),1998,19(8):713~716. [8] Cao Cewen.Nonlinearic for systems of Lax equations for AKNS hierarchy[J]. Scientia Sinica A,1989,(7):706~712.(in Chinese)