Open Access
New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation
Author(s) -
Mao Jie-Jian,
Jing Yang
Publication year - 2007
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.56.5049
Subject(s) - korteweg–de vries equation , variable coefficient , elliptic function , variable (mathematics) , trigonometric functions , mathematical analysis , function (biology) , trigonometry , mathematics , hyperbolic function , exact solutions in general relativity , physics , quantum mechanics , nonlinear system , geometry , evolutionary biology , biology
By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation.