Found 376 Documents (Results 1–100)
Superposed and superposed-type double periodic Jacobi elliptic function solutions of variable coefficients KdV equation. (English) Zbl 07898335
On the existence of superposed and superposed-type real and complex elliptic periodic waves of KdV equation. (English) Zbl 1543.35200
Exact periodic solution of the undamped Helmholtz oscillator subject to a constant force and arbitrary initial conditions. (English) Zbl 07869407
Solitons and other nonlinear waves for stochastic Schrödinger-Hirota model using improved modified extended tanh-function approach. (English) Zbl 1536.35132
Exact solution for capillary waves on the surface of a liquid of finite depth. (English. Russian original) Zbl 1536.76017
Russ. Math. 67, No. 9, 52-67 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 58-75 (2023).
Corrigendum to: “Elliptic asymptotic representation of the fifth Painlevé transcendents”. (English) Zbl 1528.34072
W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers. (English) Zbl 1519.35080
Impact of fractional derivative and Brownian motion on the solutions of the Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1517.35234
The nonextensive effects on the supersoliton structure in critical plasma state. (English) Zbl 1540.35302
Chiral solitons of \((2+1)\)-dimensional stochastic chiral nonlinear Schrödinger equation. (English) Zbl 1540.35095
The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method. (English) Zbl 1512.35560
The problem of nonlinear cantilever bending in elementary functions. (English. Russian original) Zbl 1521.74122
Mech. Solids 57, No. 5, 997-1005 (2022); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2022, No. 5, 47-57 (2022).
Optical solitons and rogue wave solutions of NLSE with variables coefficients and modulation instability analysis. (English) Zbl 1524.35579
Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves. (English) Zbl 1498.35482
MSC:
35Q53
On nonclassical symmetries, Painlevé analysis and singular, periodic and solitary wave solutions of generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1496.35029
New optical dromion and domain wall solutions of cascaded system in \((2+1)\)-dimensions via various analytical architectures. (English) Zbl 1492.35317
On two-scale dimension and its application for deriving a new analytical solution for the fractal Duffing’s equation. (English) Zbl 1506.70025
Modulated wave and modulation instability gain brought by the cross-phase modulation in birefringent fibers having anti-cubic nonlinearity. (English) Zbl 1496.81047
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background. (English) Zbl 1524.35608
Explicit Weierstrass \(\wp\) traveling wave solution and stability of dispersive solutions to the Kadomtsev-Petviashvili equation with competing dispersion effect. (English) Zbl 1485.35105
On exact multidimensional solutions to a nonlinear system of fourth-order hyperbolic equations. (Russian. English summary) Zbl 1510.35096
Sib. Zh. Ind. Mat. 24, No. 2, 77-86 (2021); translation in J. Appl. Ind. Math. 15, No. 2, 253-260 (2021).
Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives. (English) Zbl 1485.35443
Analytical methods for the variable-coefficient KP equation and its wave solutions in weakly dispersive media. (English) Zbl 1479.35184
New solutions for the generalized BBM equation in terms of Jacobi and Weierstrass elliptic functions. (English) Zbl 1482.35197
Analytic solution to the generalized complex Duffing equation and its application in soliton theory. (English) Zbl 1480.34003
Explicit analysis of large transformation of a Timoshenko beam: post-buckling solution, bifurcation, and catastrophes. (English) Zbl 1481.74440
Thirty traveling wave solutions to the systems of ion sound and Langmuir waves. (English) Zbl 1473.35093
Non-Euclidean Laguerre geometry and incircular nets. (English) Zbl 1492.51001
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-81846-3/pbk; 978-3-030-81847-0/ebook). x, 137 p. (2021).
Reviewer: Norbert Knarr (Stuttgart)
Jacobian elliptic functions and a family of bivariate peak polynomials. (English) Zbl 1473.33010
Reviewer: Thomas Ernst (Uppsala)
MSC:
33E05
Exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov equation. (English) Zbl 1479.35183
New interaction solutions of the nonlinear KdV-mKdV equation. (Chinese. English summary) Zbl 1474.35566
Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation. (English) Zbl 1456.35176
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions. (English) Zbl 1524.74217
Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method. (English) Zbl 1459.37060
Soliton and other solutions to the \((1 + 2)\)-dimensional chiral nonlinear Schrödinger equation. (English) Zbl 1520.35142
Rogue waves for the Hirota equation on the Jacobi elliptic cn-function background. (English) Zbl 1516.35294
A variety of exact solutions to \((2+1)\)-dimensional Schrödinger equation. (English) Zbl 1504.35507
Novel exact double periodic soliton solutions to strain wave equation in micro structured solids. (English) Zbl 07526341
MSC:
82-XX
Dynamics of nonlinear transversely vibrating beams: parametric and closed-form solutions. (English) Zbl 1481.74296
Jacobi elliptic function solutions and traveling wave solutions of the \((2+1)\)-dimensional Gardner-KP equation. (English) Zbl 1448.35184
MSC:
35J60
New Jacobi elliptic solutions and other solutions with quadratic-cubic nonlinearity using two mathematical methods. (English) Zbl 1439.35017
Simultaneous approximation of values of Jacobi elliptic functions in their real periods. (English) Zbl 07877883
Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations. (English) Zbl 1485.35335
Regimes of regular and chaotic motion of gyrostats in the central gravity field. (English) Zbl 1509.70002
A novel method for new solutions of time fractional \((1+2)\)-dimensional nonlinear Schrödinger equation involving dual-power law nonlinearity. (English) Zbl 1428.35536
Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution. (English) Zbl 1449.35399
Exact solutions of the nonlinear diffusion equation. (English. Russian original) Zbl 1416.35063
Sib. Math. J. 60, No. 1, 93-107 (2019); translation from Sib. Mat. Zh. 60, No. 1, 123-140 (2019).
Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system. (English) Zbl 1418.35086
Movable singularity of semi linear Heun equation and application to blowup phenomenon. (English) Zbl 1409.35011
Simultaneous approximation of values of Weierstrass and Jacobi elliptic functions in the periods and algebraic point. (English) Zbl 07877865
A new approach for seeking coefficient function solutions of conformable fractional partial differential equations based on the Jacobi elliptic equation. (English) Zbl 1543.35267
Solitons and other solutions of the nonlinear fractional zoomeron equation. (English) Zbl 1543.35277
An application of the new function method for a coupled sine-Gordon equation. (English) Zbl 1430.35047
Exact solutions for a class of nonlinear Schrödinger equation with wave operator. (Chinese. English summary) Zbl 1438.35392
New multi-stage envelope periodic solutions for a class of nonlinear Schrödinger equation with wave operator. (Chinese. English summary) Zbl 1424.35031
Analysis and synthesis of oscillator systems described by a perturbed double-well Duffing equation. (English) Zbl 1412.34149
Resultants and discriminants of the multiplication polynomials of Jacobi elliptic functions. (English) Zbl 1408.33036
Reviewer: Klaus Schiefermayr (Wels)
On analytic periodic solutions to nonlinear differential equations with delay (advance). (English. Russian original) Zbl 1516.35033
Russ. Math. 62, No. 10, 30-36 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 10, 34-42 (2018).
Complete parallel mean curvature surfaces in two-dimensional complex space-forms. (English) Zbl 1407.53059
Explicit Weierstrass traveling wave solutions and bifurcation analysis for dissipative Zakharov-Kuznetsov modified equal width equation. (English) Zbl 1400.37099
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
New double periodic exact solutions of the coupled Schrödinger-Boussinesq equations describing physical processes in laser and plasma physics. (English) Zbl 1539.35255
Attitude dynamics of gyrostat-satellites under control by magnetic actuators at small perturbations. (English) Zbl 1510.70070
Existence and stability of dispersive solutions to the Kadomtsev-Petviashvili equation in the presence of dispersion effect. (English) Zbl 1510.35262
Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation. (English) Zbl 1510.35260
The nonlinear Rossby wave with a complete Coriolis force. (Chinese. English summary) Zbl 1389.76010
Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity. (English) Zbl 1386.78017
Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation. (English) Zbl 1373.37157
Variational approach and exact solutions for a generalized coupled Zakharov-Kuznetsov system. (English) Zbl 1372.35011
Travelling wave solutions of a \(\mathrm{BBM(m,n)}\) equation with generalized evolution. (English) Zbl 1372.35238
Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations. (English) Zbl 1510.78019
Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations. (English) Zbl 1410.35220
Travelling wave solutions of a generalized variable-coefficient Gardner equation. (English) Zbl 1402.35065
Ortegón Gallego, Francisco (ed.) et al., Trends in differential equations and applications. Selected papers based on the presentations at the XXIVth congress on differential equations and applications/XIVth congress on applied mathematics, Cádiz, Spain, June 8–12, 2015. Cham: Springer (ISBN 978-3-319-32012-0/hbk; 978-3-319-32013-7/ebook). SEMA SIMAI Springer Series 8, 405-417 (2016).
On the stability and integration of Hamilton-Poisson systems on \(\mathfrak{so} (3)^*_{-}\). (English) Zbl 1416.17022
New interaction solutions of the generalized sinh-Gordon equation. (Chinese. English summary) Zbl 1374.35368
MSC:
35Q53
New Jacobi elliptic function periodic solutions of generalized Zakharov equations. (Chinese. English summary) Zbl 1374.35036
New Jacobi elliptic function periodic solutions of Davey-Stewartson equation. (Chinese. English summary) Zbl 1363.35285
New Jacobi elliptic function rational expansion method. (Chinese. English summary) Zbl 1363.35333
MSC:
35Q53
Exact solitary wave and periodic wave solutions of the Kaup-Kuperschmidt equation. (English) Zbl 1463.35434
Explicit solutions and stability analysis of the \((2+1)\) dimensional KP-BBM equation with dispersion effect. (English) Zbl 1440.35292
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