1994, Mathematical physics studies, ISBN 9780792328056, Volume 14., xii, 278

Book

2008, ISBN 1848210361, xvii, 381

This book presents the physical principles of wave propagation in fluid mechanics and hydraulics. The mathematical techniques that allow the behavior of the...

Wave-motion, Theory of | Fluids | Mathematics | Mechanical engineering & materials

Wave-motion, Theory of | Fluids | Mathematics | Mechanical engineering & materials

Book

1983, ISBN 0387907521, Volume 258., xx, 581

Book

2008, 1. Aufl., RSP, ISBN 9780470033609, 523

The Method of Lines (MOL) is a versatile approach to obtaining numerical solutions to partial differential equations (PDEs) as they appear in dynamic and...

Electromagnetic devices | Mathematical models | Mathematics | Electromagnetism | Differential equations, Partial | Numerical solutions

Electromagnetic devices | Mathematical models | Mathematics | Electromagnetism | Differential equations, Partial | Numerical solutions

eBook

Geophysics, ISSN 0016-8033, 2010, Volume 75, Issue 5, pp. X75 - A164

One major cause of elastic wave attenuation in heterogeneous porous media is wave-induced flow of the pore fluid between heterogeneities of various scales. It...

PARTIAL GAS SATURATION | FREQUENCY-DEPENDENT ANISOTROPY | P-WAVE | GEOCHEMISTRY & GEOPHYSICS | VELOCITY DISPERSION | BIOTS SLOW-WAVE | INDUCED FLUID-FLOW | RANDOM PATCHY SATURATION | PARTIALLY SATURATED ROCKS | SEDIMENTARY-ROCKS | ELASTIC-WAVES | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Rocks | Attenuation | Mathematical models | Dispersions

PARTIAL GAS SATURATION | FREQUENCY-DEPENDENT ANISOTROPY | P-WAVE | GEOCHEMISTRY & GEOPHYSICS | VELOCITY DISPERSION | BIOTS SLOW-WAVE | INDUCED FLUID-FLOW | RANDOM PATCHY SATURATION | PARTIALLY SATURATED ROCKS | SEDIMENTARY-ROCKS | ELASTIC-WAVES | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Rocks | Attenuation | Mathematical models | Dispersions

Journal Article

1989, Mathematics and its applications. Soviet series, ISBN 9780792304456, Volume 50., xx, 577

Book

2015, ISBN 9781470417086, xxi, 253 p., 16 unnumbered p.s of plates

Lax, Peter D | Partial differential equations -- Hyperbolic equations and systems -- First-order hyperbolic systems | History and biography -- History of mathematics and mathematicians -- Biographies, obituaries, personalia, bibliographies | Partial differential equations -- Representations of solutions -- Soliton solutions | Partial differential equations -- General topics -- Propagation of singularities | Numerical analysis -- Partial differential equations, initial value and time-dependent initial-boundary value problems -- Finite difference methods | Partial differential equations -- Equations of mathematical physics and other areas of application -- KdV-like equations (Korteweg-de Vries) | History and biography -- History of mathematics and mathematicians -- Schools of mathematics | Partial differential equations -- Hyperbolic equations and systems -- Wave equation | Fluid mechanics -- Shock waves and blast waves -- Shock waves and blast waves | Mathematicians

Book

2010, Monographs and surveys in pure and applied mathematics, ISBN 9781439836903, Volume 142., xiii, 268

Book

1994, 2nd ed., Grundlehren der mathematischen Wissenschaften, ISBN 0387942599, Volume 258, xxii, 632

Book

Optical and Quantum Electronics, ISSN 0306-8919, 12/2017, Volume 49, Issue 12, pp. 1 - 10

This paper examines the effectiveness of two newly developed algorithms called the exponential rational function and modified simple equation methods in...

Wuâ€“Zhang system | Optics, Lasers, Photonics, Optical Devices | Modified simple equation technique | Characterization and Evaluation of Materials | (1Â +Â 1)-Dimensional dispersive long wave | Exact traveling wave solutions | Computer Communication Networks | Physics | Exponential rational function method | Electrical Engineering | (1+1)-Dimensional dispersive long wave | MODIFIED SIMPLE EQUATION | OPTICAL SOLITONS | TASSO-OLVER EQUATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MODIFIED KUDRYASHOV METHOD | 1ST INTEGRAL METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | PHYSICAL MODELS | EXP-FUNCTION METHOD | Wu-Zhang system | OPTICS | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | Algorithms | Differential equations

Wuâ€“Zhang system | Optics, Lasers, Photonics, Optical Devices | Modified simple equation technique | Characterization and Evaluation of Materials | (1Â +Â 1)-Dimensional dispersive long wave | Exact traveling wave solutions | Computer Communication Networks | Physics | Exponential rational function method | Electrical Engineering | (1+1)-Dimensional dispersive long wave | MODIFIED SIMPLE EQUATION | OPTICAL SOLITONS | TASSO-OLVER EQUATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MODIFIED KUDRYASHOV METHOD | 1ST INTEGRAL METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | PHYSICAL MODELS | EXP-FUNCTION METHOD | Wu-Zhang system | OPTICS | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD | Algorithms | Differential equations

Journal Article

2012, ISBN 9780123846525, xiii, 447

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that...

Numerical analysis | Differential equations, Partial | MATLAB | Maple (Computer file) | Computer programs

Numerical analysis | Differential equations, Partial | MATLAB | Maple (Computer file) | Computer programs

Book

Modern Physics Letters B, ISSN 0217-9849, 02/2019, Volume 33, Issue 6, p. 1950059

In this paper, we construct exact families of traveling wave (periodic wave, solitary wave, shock wave, singular-wave, singular-periodic wave, and...

Wu-Zhang system | traveling wave solutions | Jacobi elliptic functions | generalized (G â€² / G) expansion method | EXPANSION METHOD | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | generalized (G&PRIME/G) expansion method | MODIFIED SIMPLE EQUATION | GENERALIZED (G'/G)-EXPANSION METHOD | PHYSICS, MATHEMATICAL | SOLITON SOLUTIONS | FLOW | PARTIAL-DIFFERENTIAL-EQUATIONS | EXP | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD

Wu-Zhang system | traveling wave solutions | Jacobi elliptic functions | generalized (G â€² / G) expansion method | EXPANSION METHOD | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | generalized (G&PRIME/G) expansion method | MODIFIED SIMPLE EQUATION | GENERALIZED (G'/G)-EXPANSION METHOD | PHYSICS, MATHEMATICAL | SOLITON SOLUTIONS | FLOW | PARTIAL-DIFFERENTIAL-EQUATIONS | EXP | NONLINEAR EVOLUTION-EQUATIONS | TANH-FUNCTION METHOD

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2018, Volume 2018, Issue 1, pp. 1 - 20

In this article, nonlinear propagation of envelope gravity waves is studied in baroclinic atmosphere. The classical (2+1) $(2+1)$ dimensional nonlinear...

Conservation laws | Envelope gravity waves | Ordinary Differential Equations | Functional Analysis | Timeâ€“space fractional ( 2 + 1 ) $(2+1)$ dimensional nonlinear SchrÃ¶dinger equation | Analysis | Difference and Functional Equations | exp ( âˆ’ Ï• ( Î¾ ) ) $\exp(-\phi(\xi))$ method | Mathematics, general | Mathematics | Partial Differential Equations | exp (âˆ’) method | Timeâ€“space fractional (2 + 1) dimensional nonlinear SchrÃ¶dinger equation | exp(-phi(xi)) method | EXISTENCE | MATHEMATICS, APPLIED | SYMMETRIES | Time-space fractional (2+1) dimensional nonlinear Schrodinger equation | CALCULUS | LUMP-KINK SOLUTIONS | FORMULATION | ROSSBY SOLITARY WAVES | UNIQUENESS | MATHEMATICS | EVOLUTION | FLUID | DYNAMICS

Conservation laws | Envelope gravity waves | Ordinary Differential Equations | Functional Analysis | Timeâ€“space fractional ( 2 + 1 ) $(2+1)$ dimensional nonlinear SchrÃ¶dinger equation | Analysis | Difference and Functional Equations | exp ( âˆ’ Ï• ( Î¾ ) ) $\exp(-\phi(\xi))$ method | Mathematics, general | Mathematics | Partial Differential Equations | exp (âˆ’) method | Timeâ€“space fractional (2 + 1) dimensional nonlinear SchrÃ¶dinger equation | exp(-phi(xi)) method | EXISTENCE | MATHEMATICS, APPLIED | SYMMETRIES | Time-space fractional (2+1) dimensional nonlinear Schrodinger equation | CALCULUS | LUMP-KINK SOLUTIONS | FORMULATION | ROSSBY SOLITARY WAVES | UNIQUENESS | MATHEMATICS | EVOLUTION | FLUID | DYNAMICS

Journal Article

1993, Nonlinear topics in the mathematical sciences., ISBN 0792322924, Volume 3, xiv, 327

Book

1997, Kluwer texts in the mathematical sciences, ISBN 0792345088, Volume 17., xiv, 183

Book

Physics Letters A, ISSN 0375-9601, 2008, Volume 372, Issue 4, pp. 417 - 423

The ( )-expansion method is firstly proposed, where satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling...

Travelling wave solutions | Hirotaâ€“Satsuma equations | KdV equation | Variant Boussinesq equations | ( [formula omitted])-expansion method | Homogeneous balance | Solitary wave solutions | mKdV equation | Hirota-Satsuma equations | G))-expansion method | frac(G | EXPANSION METHOD | F-EXPANSION | NONCOMPACT STRUCTURES | VARIANTS | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | SUB-ODE METHOD | (G '/G)-expansion method | PARTIAL-DIFFERENTIAL-EQUATIONS | solitary wave solutions | homogeneous balance | travelling wave solutions | variant Boussinesq equations | EXPLICIT

Travelling wave solutions | Hirotaâ€“Satsuma equations | KdV equation | Variant Boussinesq equations | ( [formula omitted])-expansion method | Homogeneous balance | Solitary wave solutions | mKdV equation | Hirota-Satsuma equations | G))-expansion method | frac(G | EXPANSION METHOD | F-EXPANSION | NONCOMPACT STRUCTURES | VARIANTS | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | SUB-ODE METHOD | (G '/G)-expansion method | PARTIAL-DIFFERENTIAL-EQUATIONS | solitary wave solutions | homogeneous balance | travelling wave solutions | variant Boussinesq equations | EXPLICIT

Journal Article

2013, ISBN 1107023637, xix, 569

""Presents methods necessary for high accuracy computing of fluid flow and wave phenomena in single source format using unified spectral theory of...

Data processing | COMPUTERS / General | Fluid dynamics | Wave mechanics | Spectrum analysis | Physics

Data processing | COMPUTERS / General | Fluid dynamics | Wave mechanics | Spectrum analysis | Physics

Book