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Whitham approach for the study of nonlinear waves on a ...

Whitham approach for the study of nonlinear waves on a ...

Whitham approach for the study of nonlinear waves on a vertically sheared current in shallow water Christian Kharif and Malek Abid Aix Marseille Universit e, CNRS, Centrale Marseille IRPHE UMR 7342 F-13384, Marseille, France September 1, 2017 Abstract Two-dimensional nonlinear gravity waves travelling in shallow wa- ter on a vertically sheared current of constant vorticity are considered ...

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The Whitham approach to dispersive shocks in systems with ...

The Whitham approach to dispersive shocks in systems with ...

In the former approach, conversely, a completely different set of invariants is introduced, which rely on the soliton solutions of the initial model, thus yielding a completely diverse set of diagonal equations (see section 3). Such a non-integrable version of the Whitham theory has been applied to the study of DSW in photorefractive crystals [35].

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Theuses ofWhitham hierarchies - arXiv

Theuses ofWhitham hierarchies - arXiv

of Whitham hierarchies in the study of soft supersymmetry breaking, as explained in18). An extra bonus of the Whitham approach to the theory of the prepotential is a set of renormalization group (RG) equations for the prepotential in terms of theta functions associated to the root lattice of the gauge group17). It was shown in18) that these equations give an elegant way to derive the instanton ...

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A general approach to linear and non-linear dispersive ...

A general approach to linear and non-linear dispersive ...

A general approach to linear and non-linear dispersive waves using a Lagrangian By G.B. WHITHAM California Institute of Technology (Received 20 October 1964) The basic property of equations describing dispersive waves is the existence of solutions representing auniform wave trains. In this paper general theory is given for non-uniform wave trains whose amplitude, wave-number, etc., vary slowly ...

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export.arxiv.org

export.arxiv.org

Whitham modulation theory for (2+1)-dimensional equations of Kadomtsev-Petviashvili type Mark J. Ablowitz, Gino Biondini yand Igor Rumanovz November 13, 2017 Abstract Whitham modu

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Braintree District Council Braintree District Settlement ...

Braintree District Council Braintree District Settlement ...

1.1 Background to the Study 1.2 Study Purpose and Objectives 1.3 Approach and Methodology 2.0 CONTEXT 2.1 Planning Policy Context 2.2 Landform and Drainage 2.3 Landscape Character 3.0 LANDSCAPE SENSITIVITY AND VALUE 4.0 LANDSCAPE CAPACITY EVALUATION 5.0 CONCLUSIONS FIGURES Figure 1 – Settlement Locations Figure 2 – Landform and Drainage Figure 3 - Settlement Evolution of Witham Figure W0 ...

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Witham Town Centre Strategy - Braintree District

Witham Town Centre Strategy - Braintree District

Co-ordinated promotion approach to the town centre particularly focussed on linking niche art, craft and clothing shops with wider events and retail offer. Key Projects: • Short term the focus on coordinating existing events (such as Halstead in Bloom) and using these as opportunities to promote the retail offer of the town . Braintree District Council Halstead Town Centre Strategy. February ...

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Practices of Piety: An Alternative Approach to the Study ...

Practices of Piety: An Alternative Approach to the Study ...

A second approach to the study of the Muslim Brotherhood has pivoted on ideology. This scholarship, produced largely in a period in which the question of compatibility between Islamism and democracy figured prominently in both academic and policy circles, traces how political conditions lead to either moderation or radicalization of Islamist beliefs.4 In doing so, it valuably illustrates the ...

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CHECKLIST FOR QUALITATIVE RESEARCH

CHECKLIST FOR QUALITATIVE RESEARCH

A report may state that the study pursued a phenomenological approach to explore people’s experience of grief by asking participants to describe their experiences of grief. If the text generated from asking these questions is searched to establish the meaning of grief to participants, and the meanings of all participants are included in the report findings, then this represents congruity ...

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The Selection of a Research Approach

The Selection of a Research Approach

decision involves which approach should be used to study a topic. Informing this decision should be the philosophical assumptions the researcher brings to the study; procedures of inquiry (called research designs); and specific research methods of data collection, analysis, and interpretation. The selection of a research approach is also based on the nature of the research problem or issue ...

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The Whitham equation with surface tension

The Whitham equation with surface tension

Whitham equation in the description of surface water waves has been investigated in [4] in the steady case without surface tension. However, it appears that no study of the performance of the Whitham equation in the presence of capillarity has been done. In the present note, we give an asymptotic derivation of the Whitham equation as a

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