2014, English ed., ISBN 1107045851, xv, 324

Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics....

Wave functions | Bethe, Hans A. 1906-2005

Wave functions | Bethe, Hans A. 1906-2005

Book

2016, Mathematical surveys and monographs, ISBN 1470428571, Volume 214, xxiii, 515 pages

Book

Advances in Computational Mathematics, ISSN 1019-7168, 06/2019, Volume 45, Issue 3, pp. 1551 - 1580

We consider numerical approximations for the modified phase field crystal equation in this paper. The model is a nonlinear damped wave equation that includes...

Journal Article

2010, Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, ISBN 9781439836903, Volume 142., xiii, 268

Book

2010, ISBN 0521839157, xv, 377

The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast...

Wave equation | Fluid dynamics | Numerical solutions | Gravity waves | Internal waves | Physics

Wave equation | Fluid dynamics | Numerical solutions | Gravity waves | Internal waves | Physics

Book

Nonlinear Dynamics, ISSN 0924-090X, 9/2017, Volume 89, Issue 4, pp. 2855 - 2866

Under investigation in this paper is a $$(2 + 1)$$ ( 2 + 1 ) -dimensional extended shallow water wave equation. Bilinear form is obtained via the generalized...

Engineering | Vibration, Dynamical Systems, Control | (2 $$+$$ + 1)-Dimensional extended shallow water wave equation | Wronskian | Pfaffian | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Soliton solutions | Bilinear form | Periodic wave solutions | (2 + 1)-Dimensional extended shallow water wave equation | NONLINEAR SCHRODINGER-EQUATION | (2+1)-Dimensional extended shallow water wave equation | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | MECHANICS | BREATHERS | RATIONAL CHARACTERISTICS | SOLITON | Fluid dynamics | Water waves | Transformations (mathematics) | Mathematical analysis | Dependent variables | Exact solutions | Wave equations | Shallow water | Solitary waves

Engineering | Vibration, Dynamical Systems, Control | (2 $$+$$ + 1)-Dimensional extended shallow water wave equation | Wronskian | Pfaffian | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Soliton solutions | Bilinear form | Periodic wave solutions | (2 + 1)-Dimensional extended shallow water wave equation | NONLINEAR SCHRODINGER-EQUATION | (2+1)-Dimensional extended shallow water wave equation | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | MECHANICS | BREATHERS | RATIONAL CHARACTERISTICS | SOLITON | Fluid dynamics | Water waves | Transformations (mathematics) | Mathematical analysis | Dependent variables | Exact solutions | Wave equations | Shallow water | Solitary waves

Journal Article

2009, Mathematical surveys and monographs, ISBN 9780821848975, Volume 156, xi, 256

Book

2015, 2nd edition., Advances in applied mathematics, ISBN 9781482251029, xvii, 667

About the Previous Edition"Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous...

Green's functions | Green-Funktion

Green's functions | Green-Funktion

Book

Journal of Mathematical Physics, ISSN 0022-2488, 05/2014, Volume 55, Issue 5, p. 59902

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 03/2017, Volume 87, Issue 4, pp. 2529 - 2540

Under investigation in this paper is a -dimensional variable-coefficient generalized shallow water wave equation. Bilinear forms, Backlund transformation and...

(3 + 1)-dimensional variable-coefficient generalized shallow water wave equation | Soliton solutions | Bilinear forms | Periodic wave solutions | Bell polynomials | Bäcklund transformation | (3+1)-dimensional variable-coefficient generalized shallow water wave equation | SYSTEM | MECHANICS | BREATHERS | Backlund transformation | NONLINEAR SCHRODINGER-EQUATION | ENGINEERING, MECHANICAL | Fluid dynamics | Water waves | Amplitudes | Wave equations | Transformations | Polynomials | Coefficients | Shallow water | Solitary waves | Superposition (mathematics) | Combinatorial analysis

(3 + 1)-dimensional variable-coefficient generalized shallow water wave equation | Soliton solutions | Bilinear forms | Periodic wave solutions | Bell polynomials | Bäcklund transformation | (3+1)-dimensional variable-coefficient generalized shallow water wave equation | SYSTEM | MECHANICS | BREATHERS | Backlund transformation | NONLINEAR SCHRODINGER-EQUATION | ENGINEERING, MECHANICAL | Fluid dynamics | Water waves | Amplitudes | Wave equations | Transformations | Polynomials | Coefficients | Shallow water | Solitary waves | Superposition (mathematics) | Combinatorial analysis

Journal Article

2011, Cambridge texts in applied mathematics, ISBN 1107664101, Volume 47, xiv, 348

"The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century....

Wave equation | Nonlinear waves | Asymptotic expansions | Solitons

Wave equation | Nonlinear waves | Asymptotic expansions | Solitons

Book

2012, ISBN 052111974X, ages cm

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of...

Wave equation | Mathematics | Inverse problems (Differential equations)

Wave equation | Mathematics | Inverse problems (Differential equations)

Book

2006, ISBN 9780387256351, xii, 180

In a field of study that is still in intensive development, this book provides a unique and informative snapshot of the state of the art. The volume opens with...

Physics | Solitons | Statistical physics | Coherent Matter Waves, Quantum Gases | Microwaves, RF and Optical Engineering | Mathematical Methods in Physics | Quantum Optics, Quantum Electronics, Nonlinear Optics | Complexity

Physics | Solitons | Statistical physics | Coherent Matter Waves, Quantum Gases | Microwaves, RF and Optical Engineering | Mathematical Methods in Physics | Quantum Optics, Quantum Electronics, Nonlinear Optics | Complexity

Book

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 10/2017, Volume 40, Issue 15, pp. 5642 - 5653

The key purpose of the present work is to constitute a numerical scheme based on q‐homotopy analysis transform method to examine the fractional model of...

fractional regularized long‐wave equation | shallow water waves | q‐homotopy analysis transform method | nonlinear dispersive waves | ion acoustic plasma waves | fractional regularized long-wave equation | q-homotopy analysis transform method | MATHEMATICS, APPLIED | BURGERS EQUATIONS | TIME | Water waves | Analysis | Ion acoustic waves | Wave equations | Mathematical models | Laplace transforms | Shallow water | Convergence | Plasma waves

fractional regularized long‐wave equation | shallow water waves | q‐homotopy analysis transform method | nonlinear dispersive waves | ion acoustic plasma waves | fractional regularized long-wave equation | q-homotopy analysis transform method | MATHEMATICS, APPLIED | BURGERS EQUATIONS | TIME | Water waves | Analysis | Ion acoustic waves | Wave equations | Mathematical models | Laplace transforms | Shallow water | Convergence | Plasma waves

Journal Article

2013, Advanced series on ocean engineering, ISBN 9814449709, Volume 37, xv, 234

Book

2004, Elsevier series in electromagnetism, ISBN 0080443710, 551

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its...

Helmholtz equation | Mathematics | Wave equation

Helmholtz equation | Mathematics | Wave equation

eBook

2017, ISBN 9814713902, xvii, 477 pages

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 09/2019, Volume 78, Issue 5, pp. 1396 - 1414

We study a class of final value problems for time fractional wave equations involvingCaputo’s fractional derivative of order 1<α<2 and a symmetric uniformly...

Final value problem | Regularity | Existence | Fractional wave equation | MATHEMATICS, APPLIED | Mathematical analysis | Wave equations

Final value problem | Regularity | Existence | Fractional wave equation | MATHEMATICS, APPLIED | Mathematical analysis | Wave equations

Journal Article