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Studies in applied mathematics (Cambridge), ISSN 0022-2526, 10/2015, Volume 135, Issue 3, pp. 277 - 294
The Whitham modulation theory for periodic traveling waves of PDEs generated by a Lagrangian produces first... 
MATHEMATICS, APPLIED | CONSERVATION | PERIODIC TRAVELING-WAVES | STABILITY | EQUATIONS | CLASSIFICATION | VALIDITY | SUPERHARMONIC INSTABILITY
Journal Article
SIAM journal on applied mathematics, ISSN 0036-1399, 2017, Volume 77, Issue 6, pp. 1989 - 2011
The dispersionless Whitham modulation equations in one space dimension and time are generically hyperbolic or elliptic and break down at the transition, which is a curve in the frequency-wavenumber plane... 
Nonlinear waves | Traveling waves | Lagrangian | Modulation | Multisymplectic | FINITE-AMPLITUDE | MATHEMATICS, APPLIED | INSTABILITY | modulation | GRAVITY-WAVES | multisymplectic | TRAINS | SOLITARY WAVES | nonlinear waves | traveling waves | DEEP-WATER | EQUATION
Journal Article
SIAM journal on applied mathematics, ISSN 0036-1399, 2017, Volume 77, Issue 3, pp. 813 - 837
We investigate the Cauchy problem for linear, constant-coefficient evolution PDEs on the real line with discontinuous initial conditions (ICs) in the... 
Asymptotic expansions | Dispersive PDEs | Gibbs phenomenon | Steepest descent | SCHRODINGER-EQUATIONS | MATHEMATICS, APPLIED | asymptotic expansions | dispersive PDEs | WHITHAM EQUATIONS | BOUNDARY VALUE-PROBLEMS | NLS | steepest descent | CONVERGENCE | ASYMPTOTICS | TIME BEHAVIOR | INITIAL DATA
Journal Article
Studies in applied mathematics (Cambridge), ISSN 0022-2526, 2019, Volume 142, Issue 3, pp. 314 - 335
In classical Whitham modulation theory, the transition of the dispersionless Whitham equations from hyperbolic to elliptic is associated... 
quadratic matrix pencil | theory of characteristics | sign characteristic | wave action | coupled NLS | multiphase modulation | FORMS | MATRIX | MATHEMATICS, APPLIED | VERSAL DEFORMATIONS | Wave propagation
Journal Article
Science (American Association for the Advancement of Science), ISSN 0036-8075, 7/2001, Volume 293, Issue 5530, pp. 643 - 650
Journal Article
The Lancet (British edition), ISSN 0140-6736, 2017, Volume 389, Issue 10079, pp. 1630 - 1638
Journal Article
Nature reviews. Genetics, ISSN 1471-0064, 2006, Volume 7, Issue 7, pp. 510 - 523
Can heritable traits in a single species affect an entire ecosystem? Recent studies show that such traits in a common tree have predictable effects on... 
EVOLUTIONARY CONSEQUENCES | LITTER DECOMPOSITION | ARTHROPOD COMMUNITY | PHRAGMITES-AUSTRALIS | GENETICS & HEREDITY | SPATIAL AUTOCORRELATION | POPULATION-DYNAMICS | GROUP SELECTION | EXTENDED PHENOTYPES | LEAF-LITTER | PLANT GENOTYPE | Genetics, Population | Animals | Plants - genetics | Ecosystem | Humans
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