A Straightforward Method for Finding Implicit Solitary Wave Solutions of Nonlinear Evolution and Wave Equations

reportActive / Technical Report | Accession Number: ADA210561 | Open PDF

Abstract:

The authors present a straightforward method of finding implicit solutions for nonlinear evolution and wave equations The method is illustrated by finding single implicit solitary wave solutions for the Harry Dym, Korteweg-de Vries, modified Korteweg-de Vries and Boussinesq equations. Keywords Partial differential equations.

Author(s):
Banerjee, Partha P. ; Daoud, Faker ; Hereman, Willy
Author Organization(s):
WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
Descriptive Note:
Technical summary rept.
Supplementary Note:
Sponsored in part by Grant NSF-MIP86-58865.
Pagination:
0033

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CMS-TSR-89-38
Contract/Grant Number(s):
AFOSR-87-NM-0263, NSF-ECS86-03643
Monitor Series:
AFOSR
 Subject Terms
Joint Capability Areas:
JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_1_Force Support; JCA_1.2.5_Lessons Learned; JCA_1.2_Force Preparation; JCA_1.2.3_Educating; JCA_5_Command and Control; JCA_3.2_Engagement; JCA_3_Force Application
Modernization Areas:
Fully Networked C3
Communities of Interest:
C4I
Descriptor(s):
*WAVE EQUATIONS, SOLUTIONS(GENERAL), PARTIAL DIFFERENTIAL EQUATIONS, WAVES, NONLINEAR SYSTEMS, EVOLUTION(GENERAL)
Field(s)/Group(s):
Numerical Mathematics
Report Date:
1989 Jun 01