摘要:

Similarity reductions of the two‐space‐dimensional versions of the Korteweg‐deVries, modified Korteweg‐deVries, Benjamin‐Davis‐Ono, and nonlinear Schrödinger equations are presented, and some solutions of the reduced equations are discussed. Exact dispersive solutions of the two‐dimensional Korteweg‐deVries equation are obtained, and the similarity solution of this equation is shown to be reducible to the second Painl

ISSN:0022-2526    

DOI:10.1002/sapm1980633185

年代:1980

数据来源: WILEY

摘要:

In certain wave systems it is possible for the amplitudes associated with special wave numbers to be larger than expected. Such may be the case if two frequencies are close together. Direct resonances of this type are studied and some possible applications are discussed.

ISSN:0022-2526    

DOI:10.1002/sapm1980633209

年代:1980

数据来源: WILEY

摘要:

A reaction‐diffusion system describing a simple activator‐inhibitor reaction is investigated in the limiting case of “very large” diffusion rate of the inhibitor. Using singular perturbation techniques, an inner and an outer expansion are derived. The latter, describing the large‐time behavior of the system, is governed by equations that, in the first orders of approximation, possess asymptotically stable space‐inhomogeneous equilibria (patterns), and whose set of equilibria is globally

ISSN:0022-2526    

DOI:10.1002/sapm1980633227

年代:1980

数据来源: WILEY

摘要:

A multiple time scale procedure is developed and used to describe the full transient behavior of solutions to certain classes of nonlinear diffusion initial value problems where the diffusion coefficients are in a certain sense “weak.” Specific examples are presented which demonstrate the explicit manner in which various traveling wave and oscillation patterns develop from arbitrary initial data for certain well‐known model systems in population biology and chemical kin

ISSN:0022-2526    

DOI:10.1002/sapm1980633249

年代:1980

数据来源: WILEY

摘要:

New methods give inequalities containing work of Ahlswede, Anderson, Chebychev, Daykin, Fortuin, Ginibre, Holley, Kasteleyn, Kleitman, Seymour and others.

ISSN:0022-2526    

DOI:10.1002/sapm1980633263

年代:1980

数据来源: WILEY

摘要:

A construction is given for ordering triples chosen from an ordered set of elements, so that each triple agrees with each neighbor in two of its members and has third member that is a neighbor of its neighbor's third member. Neighbors here are adjacent in order, and also the first is neighbor to the last among both elements and triples. Joichi and White have given a different construction.

ISSN:0022-2526    

DOI:10.1002/sapm1980633275

年代:1980

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1980633279

年代:1980

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1980633282

年代:1980

数据来源: WILEY