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New kinds of solitons and periodic solutions to the generalized KdV equation
Author(s) -
Wazwaz AbdulMajid
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20179
Subject(s) - korteweg–de vries equation , hyperbolic function , mathematics , trigonometric functions , partial differential equation , hyperbolic partial differential equation , nonlinear system , sine , mathematical analysis , work (physics) , geometry , physics , quantum mechanics , thermodynamics
In this work, the sine‐cosine method, the tanh method, and specific schemes that involve hyperbolic functions are used to study solitons and periodic solutions governed by the generalized KdV equation. New solutions are determined by using the hyperbolic functions schemes. The study introduces new approaches to handle nonlinear PDEs in the solitary wave theory. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 247–255, 2007