Found 250 Documents (Results 1–100)

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MSC:  83-XX
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Heat traveling waves in rigid thermal conductors with phase lag and stability analysis. (English)Zbl 07558304

MSC:  35Qxx 74Fxx 35Lxx
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Symmetry solutions and conserved vectors for a generalized short pulse equation. (English)Zbl 1490.35019

MSC:  35B06 35C05 35L65
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A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. (English)Zbl 07523814

MSC:  35Qxx 37Kxx 35Cxx
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Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation. (English)Zbl 07513107

MSC:  35A20 35C08 35R10
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A study on the (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation. (English)Zbl 07610912

MSC:  35B06 35G20
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Exact traveling wave solutions of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English)Zbl 07543314

MSC:  35C07 35K57
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Analysis of optical solitons solutions of two nonlinear models using analytical technique. (English)Zbl 07533483

MSC:  35Q51 35Q53
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Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models. (English)Zbl 07526718

MSC:  82D40 82C20
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Variational principle for $$(2+1)$$-dimensional Broer-Kaup equations with fractal derivatives. (English)Zbl 07548775

MSC:  35Qxx 37Kxx 35Rxx
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Peakon, rational function and periodic solutions for Tzitzeica-Dodd-Bullough type equations. (English)Zbl 1496.35143

MSC:  35C05 35Q53
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Some more solutions of Caudrey-Dodd-Gibbon equation using optimal system of Lie symmetries. (English)Zbl 1459.35012

MSC:  35B06 35G20
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Dark, singular and straddled optical solitons in birefringent fibers with generalized anti-cubic nonlinearity. (English)Zbl 1448.35090

MSC:  35C08 35Q51 78A60
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Darboux transformation for a generalized Ablowitz-Kaup-Newell-Segur hierarchy equation. (English)Zbl 1448.37078

MSC:  37K10 37J35 35C08
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Lie group analysis, exact solutions and new conservation laws for combined KdV-mKdV equation. (English)Zbl 1451.35013

MSC:  35B06 35Q53 35C05
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MSC:  34A08
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Consistent KdV expansion method and its applications to the KP equation. (English)Zbl 1428.35472

MSC:  35Q53 37K10
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The generalized kudryashov method for new closed form traveling wave solutions to some NLEEs. (English)Zbl 1484.35335

MSC:  35Q53 35C07
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Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. (English)Zbl 1479.35753

MSC:  35Q53 35C08 35B09
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On soliton solutions of time fractional form of Sawada-Kotera equation. (English)Zbl 1439.35423

MSC:  35Q53 35C08 35R11
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Numerical solution of dispersive optical solitons with Schrödinger-Hirota equation by improved Adomian decomposition method. (English)Zbl 1435.35342

Math. Probl. Eng. 2019, Article ID 2960912, 6 p. (2019); corrigendum ibid. 2020, Article ID 8128513, 1 p. (2020).
MSC:  35Q55 35C08 35C05
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Analytical solutions for nonlinear systems of conformable space-time fractional partial differential equations via generalized fractional differential transform. (English)Zbl 1422.93094

MSC:  93C20 93C10 35R11
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Further results about traveling wave exact solutions of the $$(2+1)$$-dimensional modified KdV equation. (English)Zbl 1421.35329

MSC:  35Q53 35C07 35C05
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Topological soliton solutions for three shallow water waves models. (English)Zbl 07583370

MSC:  74-XX 78-XX
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New exact solutions of a generalised Boussinesq equation with damping term and a system of variant Boussinesq equations via double reduction theory. (English)Zbl 1456.35069

MSC:  35C07 35B06 35Q53
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Invariant submodels of system equations of two-velocity hydrodynamics with equilibrium of pressure phases. (Russian. English summary)Zbl 1433.35301

MSC:  35Q35 35A30 76M60
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Solutions and Painlevé property for the KdV equation with self-consistent source. (English)Zbl 1427.35244

MSC:  35Q53 35Q51 37K10
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Expanded ($$G/G^2$$) expansion method to solve separated variables for the $$2+1$$-dimensional NNV equation. (English)Zbl 1440.35294

MSC:  35Q53 35C07 35A30
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Traveling wave solutions of two nonlinear wave equations by $$(G^\prime/G)$$-expansion method. (English)Zbl 1440.35300

MSC:  35Q53 35C07
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Explicit solutions and conservation laws of a $$(2+1)$$-dimensional KP-Joseph-Egri equation with power law nonlinearity. (English)Zbl 1391.37050

MSC:  37K10 35Q53 32L05
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Explicit solutions for the $$(2+1)$$-dimensional Jaulent-Miodek equation using the integrating factors method in an unbounded domain. (English)Zbl 1390.35042

MSC:  35C05 35Q53 35A30
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Analytic approximate solution for a flow of a second-grade viscoelastic fluid in a converging porous channel. (English. Russian original)Zbl 1390.76843

J. Appl. Mech. Tech. Phys. 59, No. 1, 72-78 (2018); translation from Prikl. Mekh. Tekh. Fiz. 59, No. 1, 83-90 (2018).
MSC:  76S05 76M25 76A10
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A (2+1)-dimensional breaking soliton equation: solutions and conservation laws. (English)Zbl 1380.35134

MSC:  35Q51 35B06 35C05
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The improved $$F$$-expansion method with Riccati equation and its applications in mathematical physics. (English)Zbl 1438.35344

MSC:  35Q53 35C07 35C08
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New analytical technique for solving a system of nonlinear fractional partial differential equations. (English)Zbl 1395.65055

Mathematics 5, No. 4, Paper No. 47, 15 p. (2017); correction ibid. 6, No. 2, Paper No. 26, 1 p. (2018).
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$${(2+1)}$$-dimensional nonlinear Rossby solitary waves under the effects of generalized beta and slowly varying topography. (English)Zbl 1391.76082

MSC:  76B25 35C08
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Many exact solutions for a higher-order nonlinear Schrödinger equation with non-Kerr terms describing the propagation of femtosecond optical pulses in nonlinear optical fibers. (English)Zbl 1382.35282

MSC:  35Q55 35C05
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Analytical study of solitons for the variant Boussinesq equations. (English)Zbl 1375.35073

MSC:  35C08 35C07
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$$(2+1)$$ dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. (English)Zbl 1371.86021

MSC:  86A10 35Q86 35Q53
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Reduced differential transform method for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations. (English)Zbl 1387.35534

MSC:  35Q53 37K10
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An investigation of abundant traveling wave solutions of complex nonlinear evolution equations: the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg-Landau equation. (English)Zbl 1438.35396

MSC:  35Q55 35C07 35Q56
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Modified method of simplest equation and its applications to the Bogoyavlenskii equation. (English)Zbl 1362.35074

MSC:  35C07 35C05 35G20
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The homogeneous balance of undetermined coefficients method and its application. (English)Zbl 1365.35145

MSC:  35Q53 35G25
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Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms. (English)Zbl 1349.35053

MSC:  35C07 35A24
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Travelling wave solutions of the Schamel-Korteweg-de Vries and the Schamel equations. (English)Zbl 1356.35204

MSC:  35Q53 35B10 35C07
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Decay mode solutions to cylindrical KP equation. (English)Zbl 1356.35211

MSC:  35Q53 76B15
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Simple equation method for nonlinear partial differential equations and its applications. (English)Zbl 1381.35011

MSC:  34A05 34A25 35C07
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The first integral method and its application for deriving the exact solutions of a higher-order dispersive cubic-quintic nonlinear Schrödinger equation. (English)Zbl 1332.35344

MSC:  35Q55 35L05
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Symmetry analysis and conservation laws of a generalized two-dimensional nonlinear KP-MEW equation. (English)Zbl 1394.35394

MSC:  35Q53 35A30
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Constructing rogue wave prototypes of nonlinear evolution equations via an extended tanh method. (English)Zbl 1355.35041

MSC:  35C08 35A20
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Modified homogeneous balance method: applications and new solutions. (English)Zbl 1352.35150

MSC:  35Q53 35C08 35A25
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Exact solutions for a new nonlinear KdV-like wave equation using simplest equation method and its variants. (English)Zbl 1442.35378

MSC:  35Q53 35C07 35Q51
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Analytical solutions for the elastic circular rod nonlinear wave, Boussinesq, and dispersive long wave equations. (English)Zbl 1442.74105

MSC:  74K10 35C05 35Q53
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Traveling wave solutions and infinite-dimensional linear spaces of multiwave solutions to Jimbo-Miwa equation. (English)Zbl 1474.35580

MSC:  35Q53 35C07
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Exact solutions of the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. (English)Zbl 1474.35567

MSC:  35Q53 35C05 35C07
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Exact solutions for $$(4 + 1)$$-dimensional nonlinear Fokas equation using extended $$F$$-expansion method and its variant. (English)Zbl 1407.35175

MSC:  35Q53 35C05
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Multiple soliton solutions for a new generalization of the associated Camassa-Holm equation by exp-function method. (English)Zbl 1407.35051

MSC:  35C08 35Q53 35Q51
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Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation. (English)Zbl 1410.35169

MSC:  35Q53 35Q35
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Single soliton solutions of the coupled nonlinear Klein-Gordon equations with power law nonlinearity. (English)Zbl 1338.37105

MSC:  37K40 35Q53
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Soliton wave solutions for the nonlinear transmission line using the kudryashov method and the $$(G'/G)$$-expansion method. (English)Zbl 1334.35013

MSC:  35C08 35Q53
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On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system. (English)Zbl 1304.35034

MSC:  35B06 35C05 35G50
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MSC:  35Q53
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A modified approach to the new solutions of generalized mKdV equation using $$(G'/G)$$-expansion. (English)Zbl 1298.35025

MSC:  35C05 35Q53
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On the exact solutions of a modified Kortweg de Vries type equation and higher-order modified Boussinesq equation with damping term. (English)Zbl 1390.35312

MSC:  35Q53 35C05 35C07
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