Initial time layers and Kadomtsev-Petviashvili-type equations

Studies in Applied Mathematics

Volumn 98, Issue 2, 1997, Pages 121-137

  Ablowitz, Mark J ^a   Wang, Xiao Ping ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS;

BOUSSINESQ EQUATIONS; GENERALISATION; INITIAL TIME; KADOMTSEV-PETVIASHVILI EQUATION; LIMIT PROCESS; MATCHED ASYMPTOTIC EXPANSION;

WATER WAVES;

EID: 0039165810     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00043     Document Type: Article

References (8)

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3. M. ABLOWITZ and H. SEGUR, On the evolution of packets of water waves, J. Fluid Mech. 92:691 (1979).
4. T. R. AKYLAS, Three-dimensional long water-wave phenomena, Annu. Rev. Fluid Mech. 26:191-210 (1994).
5. M. ABLOWITZ and J. VILLARROEL, On the Kadomtsev-Petviashvili equation and associated constraints, Stud. Appl. Math. 85:195-213 (1991).
6. M. BOITI, F. PEMPINELLI, and A. POGREBKOV, Solutions of the KPI equation with smooth initial data, Inverse Problems 10(3):505-519 (1994).
7. R. GRIMSHAW, Evolution equations for weakly nonlinear, long internal waves in a rotating fluid, Stud. Appl. Math. 73:1-33 (1985).
8. X. P. WANG, M. ABLOWITZ, and H. SEGUR, Wave collapse and instability of solitary waves of a generalized nonlinear Kadomtsev-Petviashvili, Phys. D 78:241-265 (1994).