## Found 1,436 Documents (Results 1–100)

100
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### Uniformly accurate nested Picard iterative integrators for the Klein-Gordon equation in the nonrelativistic regime. (English)Zbl 07568373

MSC:  35Q41 65M70 65N35
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### A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation. (English)Zbl 07533823

MSC:  65Mxx 35Qxx 35Lxx
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### Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. (English)Zbl 07516812

MSC:  35Qxx 65Mxx 65Nxx
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### Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane. (English)Zbl 07500527

MSC:  35Qxx 35Lxx 35Bxx
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### Ground state solution for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical exponents. (English)Zbl 1485.35177

MSC:  35J47 35J61 35A01
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### Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation. (English. Russian original)Zbl 1486.81102

Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022).
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### Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation. (English. Russian original)Zbl 1486.81097

Theor. Math. Phys. 210, No. 1, 31-45 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 38-53 (2022).
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### The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original)Zbl 1486.81103

Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022).
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### Nonlinear evolutionary Schrödinger equation in the supercritical case. (English. Russian original)Zbl 1486.81099

Theor. Math. Phys. 209, No. 3, 1683-1692 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 427-437 (2021).
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MSC:  82-XX
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### Riemann-Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions. (English. Russian original)Zbl 1482.81014

Theor. Math. Phys. 209, No. 2, 1552-1578 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 274-303 (2021).
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### The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original)Zbl 1482.81011

Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021).
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### Non-linear Schrödinger equation in a uniform magnetic field. (English)Zbl 1479.35797

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 247-265 (2021).
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### Energy-preserving scheme for the nonlinear fractional Klein-Gordon Schrödinger equation. (English)Zbl 07431561

MSC:  65-XX 81-XX
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### The solitary solutions of nonlinear Klein-Gordon field with minimal length. (English)Zbl 07409655

MSC:  81-XX 83-XX
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### Numerical simulation for quasiperiodic quantum dynamical systems. (Chinese. English summary)Zbl 07404348

MSC:  81-08 81Q05 65T50
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### The law of large numbers for quantum stochastic filtering and control of many-particle systems. (English. Russian original)Zbl 1471.81056

Theor. Math. Phys. 208, No. 1, 937-957 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 97-121 (2021).
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### On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation. (English. Russian original)Zbl 1471.81022

Theor. Math. Phys. 208, No. 1, 912-915 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 69-73 (2021).
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### Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity. (English)Zbl 1471.35034

MSC:  35B35 35L15 35L71
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### On some effects of background metrics for several partial differential equations. (English)Zbl 1469.35095

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 315-324 (2021).
MSC:  35G20 35Q30 35Q75
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### Long time existence results for Hamiltonian nonlinear Klein-Gordon equations on some compact manifolds. (English)Zbl 1469.35153

Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 1-37 (2021).
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### Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles. (English. Russian original)Zbl 1467.81041

Theor. Math. Phys. 207, No. 1, 415-433 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 23-43 (2021).
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### Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation. (English. Russian original)Zbl 1467.81040

Theor. Math. Phys. 206, No. 1, 40-67 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 47-78 (2021).
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### Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. (English)Zbl 1451.35201

MSC:  35Q55 81Q05 35C08
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MSC:  82-XX
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### Development and analysis of new approximation of extended cubic B-spline to the nonlinear time fractional Klein-Gordon equation. (English)Zbl 1482.65022

MSC:  65D07 65M70 34K37
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### Existence and stability of Klein-Gordon breathers in the small-amplitude limit. (English)Zbl 1459.39046

Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 251-278 (2020).
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### On the spectral stability of standing waves of nonlocal $$\mathcal{PT}$$ symmetric systems. (English)Zbl 1460.35324

Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 145-162 (2020).
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