Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method

<p>Comparison of the exact and approximate solution for Example <a href="https://static.hindawi.com/articles/mpe/volume-2019/2960912/figures/#ex2">2</a> for <span class="nowrap"><svg height="9.74264pt" id="M70" style="vertical-align:-1.459069pt" version="1.1" viewbox="-0.0498162 -8.28357 71.7936 9.74264" width="71.7936pt" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M554 216V284H63V216H554Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.038,0)"><path d="M440 175C403 110 395 108 335 108H173L293 222C391 316 432 379 432 457C432 568 349 635 250 635C187 635 137 610 100 573L36 479L65 456C97 502 138 544 199 544C268 544 303 495 303 425C303 349 264 274 194 191C145 133 86 78 33 26V0H434C445 42 457 105 473 164L440 175Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.538,0)"><path d="M252 635C85 635 28 460 28 311C28 167 82 -12 250 -12C419 -12 472 166 472 312C472 457 419 635 252 635ZM248 594C314 594 335 455 335 314C335 174 318 29 252 29S165 180 165 315S181 594 248 594Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.719,0)"><path d="M540 65V141L133 312L540 483V559L57 348V276L540 65ZM540 -60V8H57V-60H540Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.128,0)"><path d="M552 399C552 425 539 454 501 454C451 454 411 416 332 310L314 361C295 415 272 454 241 454C202 454 143 409 83 325L106 298C141 343 161 356 170 356C182 356 194 353 216 283L240 205C186 131 142 82 117 82C108 82 103 85 92 94C86 99 78 104 71 104C47 104 21 82 21 48S46 -12 78 -12C135 -12 174 38 256 161L281 89C306 16 325 -12 364 -12S468 27 529 120L509 149C465 97 443 83 430 83C416 83 404 107 392 140L346 271C370 300 392 326 410 343C430 360 443 367 455 367C465 367 474 363 480 356S492 345 500 345C522 345 552 365 552 399Z"></path></g><g transform="matrix(.013,0,0,-0.013,47.236,0)"><path d="M540 65V141L133 312L540 483V559L57 348V276L540 65ZM540 -60V8H57V-60H540Z"></path></g><g transform="matrix(.013,0,0,-0.013,58.645,0)"><path d="M440 175C403 110 395 108 335 108H173L293 222C391 316 432 379 432 457C432 568 349 635 250 635C187 635 137 610 100 573L36 479L65 456C97 502 138 544 199 544C268 544 303 495 303 425C303 349 264 274 194 191C145 133 86 78 33 26V0H434C445 42 457 105 473 164L440 175Z"></path></g><g transform="matrix(.013,0,0,-0.013,65.145,0)"><path d="M252 635C85 635 28 460 28 311C28 167 82 -12 250 -12C419 -12 472 166 472 312C472 457 419 635 252 635ZM248 594C314 594 335 455 335 314C335 174 318 29 252 29S165 180 165 315S181 594 248 594Z"></path></g></svg>.</span></p>

Mathematical Problems in Engineering

fig2

Figure 2

Figure 2: Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method 