Found 225 Documents (Results 1–100)
Multiple pole solutions of the Hirota equation under nonzero boundary conditions by inverse scattering method. (English) Zbl 1541.35465
Solitons and traveling waves structure for the Schrödinger-Hirota model in fluids. (English) Zbl 1542.35110
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations. (English) Zbl 1537.35418
Bounded traveling wave solutions of a (2+1)-dimensional breaking soliton equation. (English) Zbl 1527.35338
Solution of the initial boundary value problem in symbolic form. (Russian. English summary) Zbl 1538.65473
Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation. (English) Zbl 1530.35210
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky (KD) system. (English) Zbl 1518.35568
Reviewer: Jipeng Cheng (Xuzhou)
Symbolic-numerical modeling of the propagation of adiabatic waveguide mode in a smooth waveguide transition. (English. Russian original) Zbl 1520.78029
Comput. Math. Math. Phys. 63, No. 1, 96-105 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 112-122 (2023).
Rational solutions and rogue waves of the generalized \((2+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1540.35360
Numerical solution of singularly perturbed 2D parabolic initial-boundary-value problems based on reproducing kernel theory: error and stability analysis. (English) Zbl 1533.65203
Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. (English) Zbl 1519.35267
Nonlinear spin dynamics of a couple of nonlinear Schrödinger’s equations by the improved form of an analytical method. (English) Zbl 1538.35343
Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations. (English) Zbl 1490.35488
Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure. (English) Zbl 1540.35359
Exact solutions of nonlinear equations in mathematical physics via negative power expansion method. (English) Zbl 1490.35378
Lump-type solutions of a new extended \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1489.35232
Global dynamics on one-dimensional excitable media. (English) Zbl 1486.35114
Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy)
Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation. (English) Zbl 1486.35360
N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation. (English) Zbl 1479.35732
Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation. (English) Zbl 1469.35084
Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision. (English) Zbl 1535.03231
Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method. (English) Zbl 1485.35383
Rational solutions and their interaction solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1478.35090
Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms. (English) Zbl 1464.35289
Novel interaction phenomena of localised waves in the \((2 + 1)\)-dimensional HSI equation. (English) Zbl 1464.35302
Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1464.35278
Symbolic computation of new exact solutions for some nonlinear equations in mathematical physics. (Chinese. English summary) Zbl 1463.68144
A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation. (English) Zbl 1451.35155
New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. (English) Zbl 1451.35052
Novel interaction phenomena of the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1451.35177
Rogue wave solutions to a \((2+1)\)-dimensional Boussinesq equation. (Chinese. English summary) Zbl 1463.35451
MSC:
35Q53
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. (English) Zbl 1450.35115
Mathematical studies of the solution of Burgers’ equations by Adomian decomposition method. (English) Zbl 1447.35012
Lump solutions to a generalized Hietarinta-type equation via symbolic computation. (English) Zbl 1442.35366
Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1435.35296
A search for lump solutions to a combined fourth-order nonlinear PDE in (2+1)-dimensions. (English) Zbl 1464.35287
New abundant wave solutions of the conformable space-time fractional \((4+1)\)-dimensional Fokas equation in water waves. (English) Zbl 1442.35507
The third and fourth order rogue wave solutions of the \( (2+1)\)-dimensional generalized Camassa-Holm-Kadomtsev-Petviashvili equation. (Chinese. English summary) Zbl 1438.35350
MSC:
35Q53
Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions. (English) Zbl 1421.35314
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients. (English) Zbl 1415.65171
The families of explicit solutions for the Hirota equation. (English) Zbl 1460.35311
Reviewer: Catalin Popa (Iaşi)
Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1488.35466
Lump and rogue wave solutions of a reduced \((3 + 1)\)-dimensional shallow water equation. (English) Zbl 1464.35281
A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation. (English) Zbl 1434.35147
Interaction solutions for a dimensionally reduced Hirota bilinear equation. (English) Zbl 1434.35155
New exact solutions and kind wave excitations of the \((2+1)\)-dimensional dissipative Zabolotskaya-Khokhlov equation. (English) Zbl 1433.35329
Lie symmetry reductions and solitary wave solutions of modified equal width wave equation. (English) Zbl 1402.35020
Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs. (English) Zbl 1401.35261
Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation. (English) Zbl 1403.35261
Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs (extended abstract). (English) Zbl 1509.03143
Manea, Florin (ed.) et al., Sailing routes in the world of computation. 14th conference on computability in Europe, CiE 2018, Kiel, Germany, July 30 – August 3, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10936, 376-385 (2018).
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
Bright solitons for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber. (English) Zbl 1510.35113
Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation. (English) Zbl 1420.35298
Lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation. (Chinese. English summary) Zbl 1399.35318
Rogue waves and rational solutions for a class of \(\left( {3 + 1} \right)\)-dimensional KdV equation. (Chinese. English summary) Zbl 1389.35284
MSC:
35Q53
Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation. (English) Zbl 1368.35240
Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions. (English) Zbl 1368.35238
A Maple package for finding interaction solutions of nonlinear evolution equations. (English) Zbl 1368.35004
New soliton solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation with variable coefficients based on the generalized hyperbolic-function method. (Chinese. English summary) Zbl 1363.35330
New exact solutions to a category of variable-coefficient PDEs and computerized mechanization. (English) Zbl 1363.35005
Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations. (English) Zbl 1375.37162
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. (English) Zbl 1355.35159
On the general analytical solution of the kinematic Cosserat equations. (English) Zbl 1453.74051
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 367-380 (2016).
Solving space-time fractional differential equations by using modified simple equation method. (English) Zbl 1338.35470
A solution method for autonomous first-order algebraic partial differential equations. (English) Zbl 1348.68301
Soliton solutions of the generalized Kuramoto-Sivashinsky equation. (Chinese. English summary) Zbl 1349.35324
Soliton solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equation with variable coefficients. (Chinese. English summary) Zbl 1349.35320
Integrability and exact solutions for a \((2+1)\)-dimensional variable-coefficient KdV equation. (English) Zbl 1309.35121
The Adomian decomposition method for solving two dimensional Helmholtz equations. (Chinese. English summary) Zbl 1313.65325
Lie symmetry analysis for Cosserat rods. (English) Zbl 1417.74014
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 16th international workshop, CASC 2014, Warsaw, Poland, September 8–12, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8660, 324-334 (2014).
Painlevé analysis and new analytic solutions for (\(1+1\))-dimensional higher-order Broer-Kaup system with symbolic computation. (English) Zbl 1291.35262
Wronskian form solutions for a variable coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1284.35406
Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1370.35243
New exact solutions to the KP equation using a modified tanh-function method. (Chinese. English summary) Zbl 1299.35278
MSC:
35Q53
Bright hump solitons for the higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 1284.35401
Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications. (English) Zbl 1281.35078
A generalization of the \(G^{\prime}/G\)-expansion method and its application to Jimbo-Miwa equation. (English) Zbl 1283.35114
A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation. (English) Zbl 1359.35165
Some new Jacobi elliptic function solutions for the short-pulse equation via a direct symbolic computation method. (English) Zbl 1301.35127
Reviewer: Natalia Bondarenko (Saratov)
Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm. (English) Zbl 1280.35122
Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. (English) Zbl 1278.35218
MSC:
35Q53
Bäcklund transformation and conservation laws for the variable-coefficient \(N\)-coupled nonlinear Schrödinger equations with symbolic computation. (English) Zbl 1291.35359
Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger-Maxwell-Bloch system with symbolic computation. (Russian, English) Zbl 1274.35358
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 4, 671-671 (2012); translation in Comput. Math. Math. Phys. 52, No. 4, 565-577 (2012).
Painlevé integrability and multi-soliton solutions for a \((2+1)\)-dimensional general breaking soliton equation. (Chinese. English summary) Zbl 1274.35318
Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. (English) Zbl 1263.35177
On Laplace and Dini transformations for multidimensional equations with a decomposable principal symbol. (English. Russian original) Zbl 1254.35135
Program. Comput. Softw. 38, No. 3, 150-155 (2012); translation from Programmirovanie 38, No. 3 (2012).
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