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Words: 814
Articles: 33
Integrable systems admit unusually rich exact structure such as Lax pairs, conserved quantities, and symmetry reductions.
Table of contents
814
33
Sinh-Gordon equation
Integrable systems
29
Sine-Gordon equation
Integrable systems
69
2
One-soliton solution of the sine-Gordon equation in light-cone coordinates
Sine-Gordon equation
19
Sine-Gordon breather
Sine-Gordon equation
25
Focusing nonlinear Schrodinger equation
Integrable systems
36
1
Bright standing soliton of the focusing nonlinear Schrodinger equation
Focusing nonlinear Schrodinger equation
18
Hamiltonian form of the cubic nonlinear Schrodinger equations
Integrable systems
16
Defocusing nonlinear Schrödinger equation
Integrable systems
92
2
No rapidly decaying standing wave for the defocusing cubic nonlinear Schrodinger equation
Defocusing nonlinear Schrödinger equation
47
Dark soliton
Defocusing nonlinear Schrödinger equation
18
Korteweg-De Vries equation
Integrable systems
111
4
KdV Schrodinger spectral problem
Korteweg-De Vries equation
66
2
Isospectrality of the KdV discrete spectrum
KdV Schrodinger spectral problem
46
1
Evolution of a KdV discrete norming constant
Isospectrality of the KdV discrete spectrum
16
Soliton
Korteweg-De Vries equation
26
Inverse scattering transform
Integrable systems
121
3
Discrete scattering data
Inverse scattering transform
32
Gelfand-Levitan-Marchenko equation
Inverse scattering transform
68
1
Rank-one Gelfand-Levitan-Marchenko kernel
Gelfand-Levitan-Marchenko equation
32
Poisson-commuting separated energies
Integrable systems
24
Separable forced harmonic oscillators
Integrable systems
25
Action variable of a shifted harmonic oscillator
Integrable systems
30
1
Phase-plane area formula for an action variable
Action variable of a shifted harmonic oscillator
17
Compatibility condition for an overdetermined linear system
Integrable systems
15
Lax pair
Integrable systems
216
7
Airy equation
Lax pair
24
AKNS Lax pair for the nonlinear Schrodinger equation
Lax pair
33
Isospectral Lax equation
Lax pair
82
2
Trace invariants of a Lax equation
Isospectral Lax equation
23
Periodic KdV transfer matrix
Isospectral Lax equation
40
Zero-curvature condition
Lax pair
9
Global relation for the half-line free Schrodinger equation
Lax pair
49
Tzitzeica equation
Integrable systems
14
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Sine-Gordon equation
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