Open AccessThe new exact solutions of Volterra difference-differential equation and KdV difference-differential equation
Author(s) -
Taogetusang,
Sirendaoerji
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.5887
Subject(s) - differential equation , korteweg–de vries equation , volterra equations , exact differential equation , volterra integral equation , first order partial differential equation , physics , differential (mechanical device) , mathematics , mathematical analysis , mathematical physics , integral equation , nonlinear system , quantum mechanics , thermodynamics
Based on the auxiliary equation method and the trial function method, a method for combining function transformation with auxiliary equation is proposed. And the method is applied to construct new exact solitary wave solutions and triangle function solutions of Volterra and KdV difference-differential equations with the help of symbolic computation system Mathematica. Our method can also be applied to other nonlinear difference-differential equations.