DOI10.1017/CBO9781139171281zbMath0994.76001OpenAlexW3178162666MaRDI QIDQ4515168
Eryk Infeld, George Rowlands
Publication date: 13 November 2000
Full work available at URL: https://doi.org/10.1017/cbo9781139171281
Symmetries and solutions of the three-dimensional Kadomtsev-Petviashvili equation,
Soliton solutions of the Kadomtsev-Petviashvili II equation,
ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect,
A quasi-one-dimensional asymptotic theory for non-linear water waves,
Some analytical solitary wave solutions for the generalized q-deformed sinh-Gordon equation: \(\partial^2 \theta / \partial z \partial \xi = \alpha \left[\sinh_q(\beta \theta^\gamma)\right^p - \delta\)],
Dynamics of KPI lumps,
Classification of KPI lumps,
Degenerate four-virtual-soliton resonance for the KP-II,
The finite-time blowup of the solution of an initial boundary-value problem for the nonlinear equation of ion sound waves,
Particular solutions to equations of sine-Gordon type,
Provable bounds for the Korteweg–de Vries reduction in multi-component nonlinear Schrödinger equation,
A finite element method for extended KdV equations,
Universal Behavior of Modulationally Unstable Media,
Identification of coupled map lattice models of stochastic spatio-temporal dynamics using wavelets,
Algebraic travelling waves for the generalized Burgers-Fisher equation,
Algebraic traveling waves for the generalized viscous Burgers equation,
Solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides,
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities,
Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems,
Nonlinear ion-acoustic (IA) waves driven in a cylindrically symmetric flow,
A modified Runge-Kutta scheme for the generalized Benjamin-Bona-Mahony-Burgers equation,
Spatial homogenization by perturbation on the complex Ginzburg-Landau equation,
Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems,
Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions,
Vector solitons in an extended coupled Schrödinger equations with modulated nonlinearities,
Local solvability and solution blow-up of one-dimensional equations of the Yajima-Oikawa-Satsuma type,
On differential equations derived from the pseudospherical surfaces,
Wavepacket preservation under nonlinear evolution,
On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma,
A decomposition of the rotation of circle,
Traveling waves in a generalized nonlinear dispersive–dissipative equation,
Stability analysis of three-dimensional breather solitons in a Bose–Einstein condensate,
Lattice quantum algorithm for the Schrödinger wave equation in \(2+1\) dimensions with a demonstration by modeling soliton instabilities,
A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation,
The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions,
Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method,
Classification of multiply travelling wave solutions for coupled Burgers, combined KdV-modified KdV, and Schrödinger-KdV equations,
The order-n breather and degenerate breather solutions of the (2+1)-dimensional cmKdV equations,
Soliton Interactions of the Kadomtsev-Petviashvili Equation and Generation of Large-Amplitude Water Waves,
BÄCKLUND TRANSFORMATIONS AND LAX PAIRS FOR THE NONLINEAR KLEIN–GORDON EQUATION WITH SYMBOLIC COMPUTATION,
Direct Characterization of Spectral Stability of Small-Amplitude Periodic Waves in Scalar Hamiltonian Problems via Dispersion Relation,
Exp-function method for a generalized MKdV equation,
Rational and semi-rational solutions of the Kadomtsev-Petviashvili-based system,
LINEAR SUPERPOSITION IN NONLINEAR WAVE DYNAMICS,
New travelling wave solutions for sine-Gordon equation,
Integrability, exact reductions and special solutions of the KP–Whitham equations,
EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION,
Non-stationary solitary wave solution for damped forced Kadomtsev-Petviashvili equation in a magnetized dusty plasma with q-nonextensive velocity distributed electron,
Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons,
Whitham modulation theory for the defocusing nonlinear Schrödinger equation in two and three spatial dimensions